If `P_(n)` denotes the product of all the coefficients of `(1+x)^(n)` and `9!P_(n+1)=10^(9)P_(n)` then `n` is equal to

If P_(n) denotes the product of all the coefficients of (1+x)^(n) and 8!P_(n+1)=9^(8)P_(n) then n is equal to

If P_n denotes the product of all the coefficients of (1+ x)^n and 8! P_(n+1)=9^8 P_n then n is equal to

If P_(n) denotes the product of all the coefficients in the expansion of (1+x)^(n), n in N , show that, (P_(n+1))/(P_(n))=((n+1)^(n))/(n!) .

If .^(n+5)P_(n+1)=.^(11(n-1))/2,^(n+3)P_(n) "then n is equal to" .

If n be a positive integer and P_(n) denotes the product of the binomial coefficients in the expansion of (1+x)^(n), prove that (P_(n+1))/(P_(n))=((n+1)^(n))/(n!)

If P_(n) denotes the product of first n natural numbers, then for all n inN.