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Anil has 8 friends In how many wasys can...

Anil has 8 friends In how many wasys can he invite one or more of his friends to a dinner?

A

`2^(8)`

B

`2^(8)-1`

C

`8^(2)`

D

`.^(8)C_(1)+.^(8)C_(2)+………..+.^(8)C_(6)`

Text Solution

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The correct Answer is:
b,d
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FIITJEE-PERMUTATIONS & COMBINATIONS-ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL II
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  6. If ^nC4, ^nC5, ^nC6 are in A.P. then the value of n is

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  7. Anil has 8 friends In how many wasys can he invite one or more of his ...

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  8. The number of ways in which we can choose 2 distinct integers from 1 t...

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  9. The number of diagonals of a convex polygon is 15 less than 4 times t...

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  10. If .^(35)C(n+7)=.^(35)C(4n-2) then find the value of n.

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  11. Let N denotes,the greatest number of points in which m straight lines ...

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  12. If n lt p lt 2n and p is prime and N=.^(2n)C(n), then

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  13. Let k denote the number of ways in n boys sit in a row such that three...

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  14. If ((18),(r-2))+2((18),(r-1))+((18),(r))ge((20),(13)), then the number...

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  15. If (n-1)Cr=(k^2-3)nC(r+1),then k belong to

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  16. There are n married couples at a party. Each person shakes hand with e...

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  17. A class has 30 students. The followign prizes are to be awarded to the...

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  18. A letter look consists of three rings marked with 15 different letters...

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  19. If n objects are arrange in a row, then the number of ways of selec...

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  20. If n is a positvie integers, the value of E=(2n+1).^(n)C(0)+(2n-1)....

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