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If n=""^(m)C(2) the valuen of ""^(n)C(2)...

If `n=""^(m)C_(2)` the valuen of `""^(n)C_(2)` is given by

A

`""^(m+1)C_(4)`

B

`""^(m-1)C_(4)`

C

`""^(m+2)C_(4)`

D

none of these

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To solve the problem where \( n = \binom{m}{2} \) and we need to find the value of \( \binom{n}{2} \), we can follow these steps: ### Step 1: Understand the given information We know that: \[ n = \binom{m}{2} \] This means that \( n \) is the number of ways to choose 2 items from \( m \) items. ...
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If m= ""^(n) C_(2), then ""^(m) C_(2) is equal to

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If .^(n)C_(8) = .^(n)C_(2) , find .^(n)C_(2) .

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The value of ""(n)C_(1). X(1 - x )^(n-1) + 2 . ""^(n)C_(2) x^(2) (1 - x)^(n-2) + 3. ""^(n)C_(3) x^(3) (1 - x)^(n-3) + ….+ n ""^(n)C_(n) x^(n) , n in N is

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if .^(2n)C_(2):^(n)C_(2)=9:2 and .^(n)C_(r)=10 , then r is equal to

Statement -1: sum_(r=0)^(n) r(""^(n)C_(r))^(2) = n (""^(2n -1)C_(n-1)) Statement-2: sum_(r=0)^(n) (""^(n)C_(r))^(2)= ""^(2n)C_(n)

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((1 + ""^nC_1 + ""^nC_2 + ""^nC_3+…….+nC_n)^2)/(1 + ""^(2n)C_1 + ""^(2n)C_2 + ""^(2n)C_3 + ……… + ""^(2n)C_(2n)) =

OBJECTIVE RD SHARMA ENGLISH-PERMUTATIONS AND COMBINATIONS-Section I - Solved Mcqs
  1. If n=""^(m)C(2) the valuen of ""^(n)C(2) is given by

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

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  3. The sum sum(i=0)^m ((10)c,(i))((20),(m-1)), where ((p),(q))=0 if p ...

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  4. The exponent of 7 in 100!, is

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  5. The number of zeros at the end of 100!, is

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  6. The number of 24! Is divisible by

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  7. If a and b are the greatest values of ""^(2n)C(r)and""^(2n-1)C(r) resp...

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  8. Find the total number of ways in which n distinct objects can be put i...

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  9. Find the total number of ways in which n distinct objects can be put ...

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  10. Find the number of ways in which n distinct objects can be kept into t...

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  11. Find the number of ways in which 8 distinct toys can be distributed ...

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  12. The number of 6-digit numbers that can be formed using the three digit...

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  13. No. of different matrices that can be formed with elements 0, 1, 2 or...

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  14. The number of possible outcomes in a throw of n ordinary dice in wh...

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  15. Find the number of distinct rational numbers x such that o < x < 1a n ...

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  16. The number of signals that can be generated by using 6 differently col...

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  17. The sum of all five digit numbers that can be formed using the digits ...

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  18. The number of 6 digit numbers that can be made with the digits 0,1,2,3...

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  19. Seven different lecturers are to deliver lectures in seven perday. A, ...

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  20. The number of arrangements of the letters of the word BANANA in whic...

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