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Prove that 33! is divisible by " 2^15. w...

Prove that 33! is divisible by `" 2^15`. what is the largest integer n such that 33! is divisible by `2^n`.

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MODERN PUBLICATION-PERMUTATIONS AND COMBINATIONS -Revision Exercise
  1. Find the number of divisors of the number 36000.

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  2. Prove that 33! is divisible by " 2^15. what is the largest integer n s...

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  3. The maximum value of ^(n)C(r) is obtained when r is equal to

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  4. Find the number of ways in which the letters of the word "ARRANGEMENT"...

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  5. How many words, with or without meaning, each of 2 vowels and 3 con...

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  6. In how many ways can the letters of the word ASSASSINATION be arranged...

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  7. In how many different ways, the letters of the word 'ALGEBRA' can be a...

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  8. Five girls and five boys are to be seated on a bench with the boys and...

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  9. We wish to select 6 persons from 8, but if the person A is chosen, the...

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  10. A mathematical club consists of 18 members. In how many ways can the ...

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  11. There are 6 items in column A and 6 items in column B. A student is as...

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  12. A code word is to consist of two distinct English alphabets followed b...

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  13. How many 4-letter words, with or without meaning, can be formed out of...

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  14. Find the number of permutations of the letters of the words : 'DADDY ...

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  15. In how many different ways can the word 'EATERANEATER' be arranged so ...

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  16. Three married couples are to be seated in a row having six seats in a ...

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  17. A committee of 7 has to be formed from 9 boys and 4 girls. In how many...

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  18. Determine the number of 5 card combinations out of a deck of 52 cards ...

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  19. Find the number of permutations of n different things taken r at a tim...

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  20. A coin is tossed 5 times. Determine the number of ways in which 0 hea...

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