For any positive integer n, n! denotes the product of all integers from 1 through n, what is the value of `3! (7 - 2)!` ?

{:("Column A","For any positive integer n, n! denotes the product of all the integer from 1 through n . And 1! = 1","ColumnB"),(1!(10 - 1)!,,2!(10-2)!):}

For a positive integer n, what is the value of i^(4n+1) ?

For any positive integer n , prove that n^3-n divisible by 6.

For any positive integer n, prove that n^(3)-n divisible by 6.

For any positive integer n, prove that n^(3) - n is divisible by 6.

For any positive integer n,prove that n^(3)-n is divisible by 6

For any positive integer n prove that n^(3)-n is divisible by 6

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 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!)

For any positive integer n, prove that (n^(3) - n) is divisible by 6.