is A Polynomial Of Degree 5, Then n

Evaluate C₁ – 2. C₂ + 3. C₃ – 4. C₄ +….+ (– 1)ⁿ⁺¹n. C_n 

The digit at unit place in the number 17¹⁹⁹⁵ + 11¹⁹⁹⁵ – 7¹⁹⁹⁵ is

If the sum of the coefficients in the expression of (1 + 2x)ⁿ is 6561. The greatest term in the expression at x = 1/2 is

The number of terms in the expression of (a + b + c)ⁿ, where n Ïµ N, is

The number of terms which are free from fractional powers in the expansion of (a^1/5 + b^2/3)⁴⁵, a ≠ b is

If n is an odd natural, then  equals

The coefficient of x^m in (1 + x)^r + (1 + x)^r+1 + (1 + x)^r+2 +….+ (1 + x)ⁿ. r≤ m ≤ n is

 respect to x, is

If in the expression of (1 + x)m (1 – x)n. the coefficient of x and x² are 3 and – 6 respectively, then m is