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How many different nine digit numbers can be formed from the number 2, 2, 3, 3, 5, 5, 8, 8, 8 by rearranging its digit so that the odd digits occupy even positions?

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Important Questions on Permutation and Combination

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Assuming the balls to be identical except for difference in colours, the number of ways in which one or more balls can be selected from 10 white, 9 green and 7 black balls is
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There is an unlimited number of identical balls of four different colours. How many arrangements of at most 8 balls in a row can be made by using them?
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Three integers are chosen at random without replacement from the first 20 positive integers. The probability that their product is odd is
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Consider the letters of the word INCURSION. Number of arrangements of all letters in which vowels are in alphabetical order, is
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A letter lock consists of 3 rings marked with 10 different letters. Maximum number of ways to make unsuccessful attempts to open the lock is
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The number of ways in which 3 prizes can be distributed to 4 children, so that no child gets all the three prizes, are
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The number of positive divisors of 10! are _____
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A question paper is divided into two parts A and B and each part contains 5 questions. The number of ways in which a candidate can answer 6 questions selecting atleast two questions from each part is