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Permutation & Combination

A test by Gaurav Jain.

Test Questions
  1. Question

    Find the value of ^6P_4 + ^{25}C_{22}

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  2. Question

    How many three digit numbers with distinct digits can be formed using 1,2,3,4,5,6,7,8,9,0?

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  3. Question

    In how many ways can 7 Indians and & 7 Americans sit down at a round table, No two Americans being in consecutive positions?

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  4. Question

    How many 8 distinct letter words can be formed for the letters of the words “courtesy” beginning with ‘C’ and ending with ‘Y’? (with or without meaning)

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  5. Question

    What is the number of ways to assign the numbers 1 - 15 to 25 squares of 5 by 5 grid having 10 squares empty?

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  6. Question

    In how many ways can the seven letters A,B.C,D,E,F,G and H be arranged so that B and C are always together?

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  7. Question

    How many seven letter words can be constructed using 26 letters of the alphabet if each word contains 3 vowels? (repetition is allowed)

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  8. Question

    20 points such that no 4 points are coplanar, are given in space. How many tetrahedral do they determine?

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  9. Question

    How many numbers divisible by 2 lying between 50000-70000 can be formed from the digits 3,4,5,6,7,8,9 ; no digit being repeated in any number?

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  10. Question

    In how many ways can a team of 11 cricketers be chosen from 6 bowlers, 4 wicket keepers and 11 batsmen to give a majority of batsmen if at least 4 bowlers are to be included and there is one wicket keeper?

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