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A set contains (2n + 1) elements. The nu...

A set contains (2n + 1) elements. The number of subsets of the set which contain at most 'n' elements is

A

2n

B

`n^(2)`

C

`2^(n^(2))`

D

`2^(2n)`

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The correct Answer is:
D
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AAKASH SERIES-PERMUTATIONS & COMBINATIONS-EXERCISE-II
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  2. If 20% of three element subsets of the set {a(1),a(2),a(3),.......,a(n...

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  3. A set contains (2n + 1) elements. The number of subsets of the set whi...

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  4. A student is allowed to select atmost 'n' books from a collection of (...

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  5. There are 2n things out of which 'n' are alike and 'n' are different, ...

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  6. At an election 3 wards of a town are canvassed by 2, 3, 4 men respecti...

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  7. The set S={1,2,3….12} is to be partitioned into three sets A,BC of equ...

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  8. Total number of ways in which “2n' persons can be divided into ‘n’ cou...

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  9. The number of ways of dividing 15 men and 15 women into 15 couples eac...

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  10. The number of ways can a collection of 30 books be divided into two gr...

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  11. The number of ways that 7 objects can be divided into 4 sets 3 ...

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  12. The number of ways that 30 mangoes can be distributed among 5 boys if ...

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  13. The number of ways of distributing 8 indentical balls in 3 dis...

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  14. Number of ways in which 12 identical balls can be put in 5 different b...

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  15. The number of ways of selecting 10 balls out of an unlimited n...

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  16. If n is a natural number, then the number of non-negative integral sol...

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  17. Number of ways in which 3 sovereings be given away to 4 applicants and...

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  18. There are 14 Railway stations along a line. Number of ways of selectin...

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  19. The number of ways in which an examiner can assign 30 marks to 8 quest...

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  20. Number of ways in which Rs. 18 can be distributed amongst four persons...

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