If mC1 = nC2 prove that m = n(n – 1).

Given: mC1 = nC2 Need to prove: m = n(n – 1) mC1 = nC2 ⇒ ⇒ ⇒ [Proved]

Q6 of 68 Page 347

If ^mC₁ = ⁿC₂ prove that m = n(n – 1).

Given: ^mC₁ = ⁿC₂ Need to prove: m = n(n – 1) ^mC₁ = ⁿC₂ ⇒ ⇒ ⇒ [Proved]

If ³⁵C_n+7 = ³⁵C_4n–2 then find the value of n.

Find the values of (i) ²⁰⁰C₁₉₈, (ii) ⁷⁶C₀, (iii) ¹⁵C₁₅.

Write the value of (⁵C₁ + ⁵C₂ + ⁵C₃ + ⁵C₄ + ⁵C₅).

If ⁿ⁺¹C₃ = 2(ⁿC₂), find the value of n.