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Permutation and Combination Questions for CAT with Answers PDF

This EduRev document offers 20 Multiple Choice Questions (MCQs) from the topic Permutation & Combination (Level - 2). These questions are of Level - 2 difficulty and will assist you in the preparation of CAT & other MBA exams. You can practice/attempt these CAT Multiple Choice Questions (MCQs) and check the explanations for a better understanding of the topic.

Question for Practice Questions Level 2: Permutation & Combination - 2
Try yourself:There are four rooms in a lodge: one single, one double, one for three persons and one for four persons. In how many ways can 10 persons be placed in these rooms?
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Question for Practice Questions Level 2: Permutation & Combination - 2
Try yourself:There are 5 letters and 5 directed envelopes. The number of ways in which all the letters can be put in a wrong envelope are  
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Question for Practice Questions Level 2: Permutation & Combination - 2
Try yourself:A five-digit number is formed by the digits 1, 2, 3, 4 and 5 without repetition. Find the probability that the number is divisible by 4.
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Question for Practice Questions Level 2: Permutation & Combination - 2
Try yourself:How many five-digit numbers can be formed that are the same when the order of their digits is reversed?  
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Question for Practice Questions Level 2: Permutation & Combination - 2
Try yourself:A committee of four men and three women is to be formed from among six men and four women. If a particular woman, W1, refuses to be in the committee with another woman, W2, then in how many ways can the committee be formed?  
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Question for Practice Questions Level 2: Permutation & Combination - 2
Try yourself:A code is of the format XXXXYYYY, where X can be a letter from A-H and Y can be a digit from 0-9 such that no repetition of any letter or digit occurs (e.g. ABHE0387). How many such codes exist?
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Question for Practice Questions Level 2: Permutation & Combination - 2
Try yourself:In an ice-cream store, one can pick from six flavours - Mango, Chocolate, Blueberry, Strawberry, Cherry and Vanilla. Further, one may also choose some topping from Choco-chip, Almond, Cashew, Pistachio and Coconut. One can even combine some or all of these toppings. How many different ice-creams are possible, if ice-cream of only one flavour can be chosen?
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Question for Practice Questions Level 2: Permutation & Combination - 2
Try yourself:Permutation and Combination Questions for CAT with Answers PDF
Then, n is
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Question for Practice Questions Level 2: Permutation & Combination - 2
Try yourself:A city having eight hotels gets five tourists. In how many ways can these tourists stay in these hotels, if at least two tourists have to stay together?
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Question for Practice Questions Level 2: Permutation & Combination - 2
Try yourself:How many five digit numbers contain exactly one 3?  
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Question for Practice Questions Level 2: Permutation & Combination - 2
Try yourself:There are 3 piles of identical red, blue and green balls and each pile contains at least 10 balls. The number of ways of selecting 10 balls, if twice as many red balls as green balls are to be selected, is
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Question for Practice Questions Level 2: Permutation & Combination - 2
Try yourself:Seven distinct academic prizes are to be given to some students from a class of 50 students. Four prizes out of these are to be given to 4 distinct students. The rest three prizes can be given to any student even if he has won any other prize before. In how many ways can this be done?
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Question for Practice Questions Level 2: Permutation & Combination - 2
Try yourself:The letters of the word RANDOM are written in all possible orders and the words so obtained are arranged in a dictionary order. In this list, the rank of the word RANDOM is  
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Question for Practice Questions Level 2: Permutation & Combination - 2
Try yourself:How many four-letter words can be formed if the first and the last letters are vowels (if repetition is allowed)?  
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Question for Practice Questions Level 2: Permutation & Combination - 2
Try yourself:In how many ways can two unit squares, 1 white and 1 black, be selected from an 8 x 8 chessboard such that they don't lie in the same row or column?  
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Question for Practice Questions Level 2: Permutation & Combination - 2
Try yourself:In an eating competition, Mr. Bhima has to eat 10 different sweets (one at a time) named A to J. In how many different ways can he eat all the sweets, such that he has to eat A before B and B before C?  
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Question for Practice Questions Level 2: Permutation & Combination - 2
Try yourself:How many four-lettered palindromes (same in both the directions), with or without meaning can be formed using the English alphabet?  
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Question for Practice Questions Level 2: Permutation & Combination - 2
Try yourself:There are 20 families with 4 members each, living in a 20-storey building. The families mutually decide to form a welfare committee for the well-being of all the residents. The committee will be of 10 members. Each family's only senior two members are eligible for membership in the committee and no more than 1 member from any family can be a part of the committee. In how many different ways can the committee be constituted?  
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Question for Practice Questions Level 2: Permutation & Combination - 2
Try yourself:How many 4-digit numbers divisible by 6 can be formed from the digits 1, 2, 3, 4, 5 and 6 without repetition?  
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Question for Practice Questions Level 2: Permutation & Combination - 2
Try yourself:How many natural numbers greater than 7,00,000 can be formed by using the digits 0, 3, 5, 6, 7, 8, if repetition is not allowed?  
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