Space and time efficient Binomial Coefficient | Returns value of Binomial Coefficient C ( n , k ) ; Since C ( n , k ) = C ( n , n - k ) ; Calculate value of [ n * ( n - 1 ) * -- - * ( n - k + 1 ) ] / [ k * ( k - 1 ) * -- -- * 1 ] ; Driver Code
function binomialCoeff ( n , k ) { let res = 1 ; if ( k > n - k ) k = n - k ; for ( let i = 0 ; i < k ; ++ i ) { res *= ( n - i ) ; res /= ( i + 1 ) ; } return res ; } let n = 8 ; let k = 2 ; document . write ( " " + n + " " + k + " " + " " + " " + binomialCoeff ( n , k ) ) ;