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""^(n) C(r+1)+2""^(n)C(r) +""^(n)C(r-1)=...

`""^(n) C_(r+1)+2""^(n)C_(r) +""^(n)C_(r-1)=`

A

`""^((n+1))C_(r+2)`

B

`""^((n+1))C_(r+1)`

C

`""^((n+2))C_(r+1)`

D

`""^((n+2)) C_(r+2)`

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-PERMUTATIONS & COMBINATIONS-EXERCISE 1B (COMBINATIONS )
  1. If ""^(n)C(r) +""^(n) C(r+1)= ""^((n+1)) C(x) then x=

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  2. If ""^(15)C(4) +""^((n+5))C(5)=""^(16)C(5) then n=

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  3. ""^(n) C(r+1)+2""^(n)C(r) +""^(n)C(r-1)=

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  4. ""^(2n)C(n+1)+2. ""^(2n)C(n) + ""^(2n) C(n-1) =

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  5. ""^(n) C(r) + 4 . ""^(n) C(r-1) + 6 . ""^(n) C(r-2) + 4. ""^(n)C(r...

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  6. For 1 le r le n, the value of ""^(n)C(r) +""^(n-1) C(r) + ""^...

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  7. IF S= overset ( m) sum "" ^(n+r ) C(k), then

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  8. ""^(14) C(4) + overset(4) sum ( 18 - j ) C (3) =

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  9. ""^(47 ) C(4 )+ underset( j =1) overset( 5 ) sum ""^((52- j)) C(3)...

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  10. the value of ""^50C(4) + underset( r=1) overset( 6 ) sum ""^(56...

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  11. sum( r=0 )^ ( 10) ( 40 -r)C (5)=

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  12. The least value of n so that ""^(n) C(5) + ""^(n ) C(6) gt (...

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  13. The least positive intergral value of n which satisfies the ...

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  14. IF ""^(n) C(3) : ""^((2n-1) ) C(2) = 8 : 15 then n=

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  15. IF ""^(n) C(3) : ""^((2n-1) ) C(2) = 8 : 15 then n=

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  16. IF C (2n, 3) : C (n,2) = 12 : 1, then n=

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  17. If ""^(2n ) C(3) : ""^(n) C(2) = 44 : 3 then n=

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  18. If ""^(n ) C (3) : ""^(n) C(2) = 10 : 3 , then n=

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  19. IF ""^(n) C(r-1) :""^(n)C(r)= 2 : 3 then ( n , r) =

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  20. IF ""^(n) C(r-1) : ""^(n )C(r) : = 2: 4 : then (n,r)=

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