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A student is allowed to select at most n...

A student is allowed to select at most n books from a collection of (2n+1) books .If the total number of ways in which he can select books is 63 find the value of n.

A

6

B

n

C

3

D

None

Text Solution

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The correct Answer is:
C
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Statement-1: A student is allowed to select at most n books from a collection of (2n+1) books. If the total number of ways in which he can select at least one book is 255, then n=3. sum_(r=1)^(n)""^(2n+1)C_(r)=2^(2n)

A student is allowed to select at most n books from a collection of (2n+1) books.If the total number of ways in which a student selects at least one book is 63. then n equals to -

Knowledge Check

  • A student is allowed to select at most n books from a collection of (2n+1) books . IF the total number of ways in which he can select a book is 63, the value of n is

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    2
    B
    3
    C
    4
    D
    none of these
  • A student is allowed to select at most n books from a collection of (2n + 1) books. If the total number of ways in which he can select atleast one book is 63, find the value of n.

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    5
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    6
    C
    3
    D
    7
  • Rakshit is allowed to select (n+1) or more books out of (2n+1) distinct books. If the number of ways in which he may not select all of them is 255, then value of n is

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