Statement 1: The number of distinct terms in `(1+x+x^2+x^3+x^4)^(1000)i s4001.` Statement 2: The number of distinct terms in expansion `(a_1+a_2++a_m)^ni s^(n+m-1)C_(m-1)^dot`

The number of distinct terms in the expansion of (1+ 3x + 3x^(2) + x^(3))^(7) is

Statement-1: The number of distict term in the expansion of (1+px)^(20)+(1-px)^(20) is 42. Statement-2: Number of term in the expansion of (1+x)^(n) is (n+1).

The number of distinct terms in the expansion of is (x^(3)+(1)/(x^(3))+1)^(200) is

The number of terms in the expansion of (1+2x+x^2)^n is :

Statement-1 The number of terms in the expansion of (x + (1)/(x) + 1)^(n) " is " (2n +1) Statement-2 The number of terms in the expansion of (x_(1) + x_(2) + x_(3) + …+ x_(m))^(n) "is " ^(n + m -1)C_(m-1) .

The number of terms in the expansion of (1+2x +x^2)^20 is 40

Statement 1: The total number of dissimilar terms in the expansion of (x_(1)+x_(2)++x_(n))^(3)is(n(n+1)(n+2))/(6) Statement 2: The total number of dissimilar terms in the expansion of (x_(1)+x_(2)+x_(3))^(n)is(n(n+1)(n+2))/(6)