permutation and combination difficult questions with answers pdf


How many six-letter words can one generate with the letters of the word Canada? How many 5-digit numbers can be formed using the digits (2, 3, 4, 5, 7) without repetition?

A rowing team consists of eight men, one whom can only row on the right and one of whom can only row on the left. How many four-digit numbers can there be if repetition of numbers are allowed and if repetition of numbers are not allowed? B.) How many different arrangements are possible if no two girls sit next to each other? b) Combinations C(6,3). Three persons enter into a conference hall in which there are 10 seats. In how many different ways can this test be completed? What is the probability of a correct guess on the first try? The other two numbers can then be arranged in 2 ways in the remaining blanks.

A committee of three is chosen from five councilors- Adam, Burke, Cobb, Dilby, and Evans.

In how many ways can three of them stand in a line to have their picture taken? How many different possibilities are there? How many different 5 -letter passwords can be formed from the letters upper a , upper b , upper c , upper d , upper e , upper f , and upper g if no repetition of letters is allowed?

In how many ways can she arrange the musical selections? They need to exchange these secrets over person-to-person phone calls so that eventually each person knows all six secrets. How many total possibilities are there? There are 10 contestants, how many ways can the judge pick who gets first, second and third prizes?

A shirt company has 4 designs that can be made with short or long sleeves, there are 7 color patterns available. In how many ways could this happen?

This blog contains very important Permutations and Combination Questions and useful tips and tricks for CAT exam. A bin contains 100 Style A notebooks, 100 Style B notebooks, and 100 Style C notebooks. Now 3 would call 4 . How many different positive integers less than 2,000 can be formed by using digits 1, 2, 3, and 4 if each digit is used only once? How many different routes are possible? You and your four friends go to a concert. Such that 3 and 4 would know secret of all 6 members.

the women are to be seated together. Permutation and Combination Theory and Questions Part-1: Permutation and Combination Questions PDF in Hindi.

How many different lineups are possible? Find the sum of all the five-digit numbers formed by the digits 2, 4, 6, 8, and 0 when: (i) repetition of the digits is not allowed (ii) repetition is allowed. 4989600 C. 120960 D. None of these.

In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together? Permutation. Let S be the set of five-digit numbers formed by the digits 1, 2, 3, 4 and 5, using each digit exactly once such that exactly two odd positions are occupied by odd digits. How many ways are there to sit the committee in a row by grade? 1. Sciences, Culinary Arts and Personal How many distinct arrangements of the letters in the word MONKEY are there? How many ways can 5 sites be chosen from a total of 9 possible sites, if the order in which the sites are chosen is important?

My combination lock uses three distinctive numbers between 1 and 30 inclusive. I have 7 leftover earrings in my jewelry box. (Assume there are five women on each side of the group of men.). 25200: B. How many ways can five persons line up to get on a bus? A doctor visits her patients during morning rounds.

In how many different ways can these 2 positions be filled? How many different signals can be made by hoisting 4 yellow flags, 2 green flags and 2 red flags on a ship's mast at the same time? Five (5) married couples go to the theater.
What would be the total number of product codes if only the first 5 alphabet characters are used? A doctor visits her patients during morning rounds. In CAT, questions from permutation and combination are mostly based on the concepts of fundamental principles of counting.There is very rare occasions when the questions … In how many ways can the six-t... Fifteen individuals are competing in the Olympics in the downhill slalom. There are 11 people in an office with 3 different phone lines. In how many ways can the crew be arranged with four men on each side of the boat?

The first 3 positions must be letters or numbers, position 4 and 5 must be letters, posit... How many ways can we can arrange a 4-digit number from only 3 digits?

100 Free GK tests for IIFT (Download App). In how many ways can they be seated in a row if they must sit alternating boys and girls? In how many different ways can you arrange the coins in a row? First call would be between 1-3 then 2-3 such that 3 know secret of all 3 englishmen. How many different ways are there to form a full house from a standard deck of card? Your international diplomacy trip requires stops in Thailand, Singapore, Hong kong, Laos, and Bali. How many sequence of 5 things can be formed from 9 different things with replacement and order is important. In how many ways can 3 swimmers advance? Three Englishmen and three Frenchmen work for the same company.

How many social security numbers are possible?

This function squares the input, multiplies it by 2, and then subtracts 1. In how many ways can five books be arranged on a bookshelf? Similarly there would be call between 4-5 then 4-6 such that 4 know secret of all 3 frenchmen.

How many possibilities are there for selecting the three winners recognizing t... A voice teacher selects 7 students from the class to sing for the trustees. A bag contains 6 black, 1 red and 3 yellow jelly beans.

All other trademarks and copyrights are the property of their respective owners. What is the probability someone can guess the correct combination gi... What would be the number of combinations for a 3-digit password if you take integers from 0 to 7? Task 1 cannot be assigned either to person 1 or to person 2; task 2 must be assigned to either person 3 or person 4. Initially Permutation and Combination problems may seem hard but once you practice online problems and go through the solution which is provided for every Permutation and Combination problem these aptitude problems will not remain that demanding. Six students Ann, Bob, Carol, Dan, Eve, and Frank are randomly lined up for a picture.

Visit now! How many different ways can the officers be appointed? Bekah has exactly three brass house number digits: 2, 3, and 5.

= 6 ways.

In how many ways can Allan arrange the 9 songs on the CD? The trifecta at most racetracks consists of selecting the first, second, and third-place finishers in a particular race in their proper order. For a segment of a radio show, a disc jockey can play 8 records. = 144.

How many different ways can a race with 7 runners be completed?

In how many ways can the people be presented. 3024 c. 2512 d. 1015. Question: A family of 6 is visiting a very large shopping mall.

So that you can easily get the logic of question. a.20 \\b.120 \\... For the given event, circle the most appropriate term. How many such passwords are possible?

Explanation are given for understanding. Refer to strings in a, b, ..., z. A lottery exists where balls numbered 1 to 25 are placed in an urn. We have covered this topic and all its sections in our earlier articles. Suppose a soft drink company want to perform a taste test on 5 brands of diet cola.

How many different batting orders are possible if the pitcher bats last and the team's best hitter bats third? Seven math books and three literature books are on a shelf. The padlock for your gym locker uses a 3 number sequence to open the lock.

(A digit is one of the 10 numbers 0. What is the possibility that all the people will get their own coat back?

If a coach had 10 people that he had to sort out into groups of 4 (excluding rearranging the same group of people), how many groups would he have? P(n) = n! Sally has 3 red flags, 4 green flags, and 5 white flags. A true or false test contains 22 questions. How many different codes are available? Download the CAT Verbal Ability PDFs/Ebooks and all Quantitative aptitude questions PDF.

There are three boys and three girls at a party. A second box contains 3 colour pencils and 5 crayons One item from each box is chosen at random.

A. If all the lines begin to ring at once, how many groups of 3 people can answer these lines?

A coordinator will select 7 songs from a list of 10 songs to compose an event's musical entertainment lineup. Ten huskies are to be selected to pull a dogsled. Ten cars are randomly chosen to be displayed in front of the dealership. If there are 88 records to select from, in how many ways can the program for this segment be arranged? In how many ways can he select and display the 4 pendants?

Evaluate the expression _6P_5.

In how many ways can the doctor visit 88 patients during the morning rounds? You need to arrange eight of your favorite books along a small shelf. A mutual fund has 14 stocks in its portfolio.

A golf-course architect has six linden trees, four white birch trees, and three bald cypress trees to plant in a row along a fairway.

Discuss how to calculate the probability of permutations. Your international diplomacy trip requires stops in Thailand, Singapore, Hong Kong, and Bali. How many different ways can the officers be appointed? Using 10 flavors of ice cream, how many cones with 3 different flavors can you create if it is important to you which flavor goes on the top, middle, and bottom? Complete parts (a) through (c) below. How many different permutations of the letters in the word probability are there? So, the number of possibilities is 7.

To win, a gamer must match the five balls chosen in the correct order. Solved examples with detailed answer description, explanation are given and it would be easy to understand.

List all the permutations of the group 3589. In how many different ways can you seat 4 students in the first row and 8 students in the second row? Indicate whether the situation involves a combination or a permutation. How many different routes are possible, assuming that it does not matter in which order the cities are included in the routing?


How many different arrangements of 7 letters can be formed if the first letter must be w or k (repeats of letters are allowed)? 1) Last digit is 9: No. Answers and Solutions for CAT Permutation and Combination Questions PDF (Set -2): The nth term is a + (n-1)d In a horse race, how many different finishes among the first 3 places are possible if 18 horses are running? Similarly, 4 occurs 12 times.

The exit code for a car security system consists of six digits. What is the total number of... We have 9 balls of distinct colors.

UMUC Stat Club must appoint a president, a vice president, and a treasurer. Suppose we want to choose 2 colors, without replacement, from the 3 colors red, blue, and green. A school dance committee is to consist of 2 freshman, 2 sophomores, 4 juniors and 6 seniors. If all possible four digit numbers are formed using the digits 3, 4, 5, and 6 (without repetition) and arranged in ascending order of magnitude, then find the position of the number 5463?

999 = 3^3 * 37 Answer: Option A. In a race in which five automobiles are entered and there are no ties, in how many ways can the first three finishers come in?

In how many ways they can take their seats? Distinguish which numbers to use where. In how many different ways can she do this?

Ariane wants to arrange 6 of her favorite CD's along a shelf. License plates in a particular state display 2 letters followed by 4 numbers. 21300: C. 24400: D. 210: View Answer.

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