Evaluate:

1

⁷¹C₇₁

1

Evaluate:

ⁿ⁺¹C_n

2

Verify that:

(i) ¹⁵C₈ + ¹⁵C₉ – ¹⁵C₆ – ¹⁵C₇ = 0

(ii) ¹⁰C₄ + ¹⁰C₃ = ¹¹C₄

3

(i) If ⁿC₇ = ⁿC₅, find n.

(ii) If ⁿC₁₄ = ⁿC₁₆, find ⁿC₂₈.

(iii) If ⁿC₁₆ = ⁿC₁₄, find ⁿC₂₇.