When `(5 + 3x)^100` is expanded, then largest power of 2 dividing the coefficient of `x^39`

Find the largest power of 2 that can divide 268!.

If (x-4)/(x^(2)-5x+6) can be expanded in the ascending powers of x , then the coefficient of x^(3) is

If (x-4)/(x^(2)-5x+6) can be expanded in the ascending powers of x , then the coefficient of x^(3) is

If (x-4)/(x^(2)-5x+6) can be expanded in the ascending powers of x, then the coefficient of x^(3)

When (2x+3y)^(7) is expanded and the like terms are combined then the coefficient of the term x^(5)y^(2) is

Consider the determinant D= |(x+2,2x+3,3x+4), (x+1, x+1, x+1), (0, 1, 3x +8)| If the determinant is expanded in the power of x, the coefficient of x is

If (2+(x)/(3))^(55) is expanded in the ascending powers of x and the coefficients of powers of x in two consecutive terms of the expansion are equal then these terms of the expansion are 27,28 (D) 28,29

The coefficient of the (r +1)th term of (x +(1)/(x))^(20) , when expanded in the descending power of x , is equal to the coefficient of the 6th term of (x^(2) + 2 + (1)/(x^(2))) when expanded in ascending power of x . The value of r is