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If (""^(11)C(1))/(2)+(""^(11)C(2))/(3)+....

If `(""^(11)C_(1))/(2)+(""^(11)C_(2))/(3)+...+("^(11)C_(9))/(10)=(n)/(m)` with `gcd(n,m)=1` ,then `n+m` is equal to___________

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(11C_(0))/(1)+(11C_(1))/(2)+(11C_(2))/(3)+......+(11C_(10))/(11)=

(.1^(11)C_(0))/(1)+(.^(11)C_(1))/(2)+(.^(11)C_(2))/(3)+....+(.1^(11)C_(10))/(11)

If (m)/(n)=(11)/(4) then (m-n)/(n)=?

If for some m,n,^(6)C_(m)+2(""^(6)C_(m+1))+^(6)C_(m+2)>^(8)C_(3) and ^(n-1)P_(3):^(n)P_(4)=1:8 ,then ""^(n)P_(m+1)+""^(n+1)C_(m) is equal to

^(n)C_(m)+^(n-1)C_(m)+^(n-2)C_(m)+............+^(m)C_(m)

For n = 6, let N=(""^(n)C_(0))^(2)+(""^(n)C_(1))^(2)+…+(""^(n)C_(n))^(2) If N- 204 = m!, then m = ___________

If 1/(1!11!)+1/(3!9!)+1/(5!7!)=(2^n)/(m!) then the value of m + n is

If .^(m)C_(1)=.^(n)C_(2) prove that m=(1)/(2)n(n-1) .

JEE MAINS PREVIOUS YEAR-JEE MAIN 2024 ACTUAL PAPER-Question
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