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

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

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Explore conceptually related problems

If .^(n)C_(8)=.^(n)C_(6) , find .^(n)C_(3) .

If .^(n)C_(8)=.^(n)C_(6) , then find .^(n)C_(2) .

Knowledge Check

  • If ^(^^)nC_(9)=^(n)C_(8), find ^(n)C_(17)

    A
    17
    B
    1
    C
    17!
    D
    None of these

  • If ""^(n)C_(9) = ""^(n) C_(8) , then find ""^(n) C_(17) .

    A
    1
    B
    0
    C
    `-4`
    D
    None of these

  • The value of .^(n)C_(0) xx .^(2n)C_(r) - .^(n)C_(1)xx.^(2n-2)C_(r)+.^(n)C_(2)xx.^(2n-4)C_(r)+"…." is equal to

    A
    `.^(n)C_(r-n) xx 2^(2n-r)` if `r ge n`
    B
    0, if `r lt n`
    C
    `.^(n)C_(r-n) xx 2^(n-r)` if `r ge n`
    D
    `.^(-n)C_(r-n) xx 2^(2n-r)` if `r lt n`

    • Similar Questions

    Explore conceptually related problems

    (i) .^(n)C_(7)=.^(n)C_(5) , find n. (ii) If.^(n)C_(14)=.^(n)C_(16) , find .^(n)C_(28) .

    If ^(n)C_(8)=^(n)C_(6), then find ^(n)C_(2)

    If ""^(2n)C_(1), ""^(2n)C_(2) and ""^(2n)C_(3) are in A.P., find n.

    Find the sum .^(n)C_(0) + 2 xx .^(n)C_(1) + xx .^(n)C_(2) + "….." + (n+1) xx .^(n)C_(n) .

    Prove that .^(n)C_(0) + (.^(n)C_(1))/(2) + (.^(n)C_(2))/(3) + "……" + (.^(n)C_(n))/(n+1) = (2^(n+1)-1)/(n+1) .

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