Question

Statement I Σ(r + 1).ⁿC_r for r is 0 to n = (n + 2)2^{n - 1}

Statement II  Σ(r + 1).ⁿC_r.x^r  for r is 0 to n = (1 + x)ⁿ + nx(1 + x)^{n - 1}

(a) Statement I is false, Statement II is true

(b) Statement I is true, Statement II is true; Statement II is a correct explanation of Statement I

(c) Statement I is true, Statement II is true; Statement II is not a correct explanation of Statement I

(d) Statement I is true, Statement II is false

Answer 1

Correct option (b) Statement I is true, Statement II is true; Statement II is a correct explanation of Statement I

Explanation:

Hence, Statements I and ll are true and Statement ll is a correct explanation of Statement l,