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If r is allowed to vary, find the value ...

If r is allowed to vary, find the value of r for which `"^nC_r` is maximum.

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

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

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  3. If r is allowed to vary, find the value of r for which "^nCr is maximu...

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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 conson...

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  6. How many words, with or without meaning, can be formed using all the l...

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

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  8. In how many ways can the letters of the word 'ALGEBRA' can be arranged...

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  9. In how many ways can the letters of the word 'ALGEBRA' can be arranged...

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  10. In how many different ways can five boys and five girls form a circle ...

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

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  12. Each of the six squares in the strip shown in the fig., is to be colou...

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  13. A mathematical club consists of 18 members. In how many Wars can the m...

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  14. How many arithmetic progressions with 10 terms are there whose first t...

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

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

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

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  18. Find the number of permutations of the letters of the words 'DADDY DID...

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  19. In how many different ways can the word ‘EATERAN EATER’ be arranged so...

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

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