Question

nC10=nC12 then the find value of nC5

Answer 1

n= 10 +12 = 22
22c5 is 26334

Answer 2

ⁿC₅  =26334  if ⁿC₁₀  = ⁿC₁₂

Step-by-step explanation:

ⁿC₁₀  = ⁿC₁₂

as we know that  ⁿCₓ  = ⁿCₙ₋ₓ

=> if x = 10  then n - x = 12

=> n - 10 = 12

=> n = 22

²²C₅  = 22!/(5! * 17!)

= 22 * 21 * 20 * 19 * 18  * 17! / (5! * 17!)

= 22 * 21 * 20 * 19 * 18 / ( 5 * 4 * 3 * 2 * 1)

= 22 * 21 * 19 * 18 / 6

= 22 * 21 * 19 * 3

= 26334

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