1.

If $ ^{n} \mathrm{C}_{8}=^{n} \mathrm{C}_{2}, $ find $ ^{n} \mathrm{C}_{2} $

Answer»

If ⁿCₓ = ⁿCᵤ then, x + u = n Here, ⁿC₈ = ⁿC₂ so, according to results , n = 8 + 2 = 10 hence, n = 10 Hence 10C2=10!/8!2!=10*9/2=9*5=45



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