যদি nC12 = nC8 হয়, তবে 22Cn এর মান কত?

A 230

B 231

C 232

D 233

Solution

Correct Answer: Option B

দেওয়া আছে, 
nC12 = nC8
⇒ nCn - 12 = nC
⇒ n - 12 = 8 
∴ n = 12 + 8 = 20 

সুতরাং, প্রদত্ত রাশি, 
22Cn
22C20  ; [n = 20]
= 22!/(20! × 2!)
= (22 × 21 × 20!)/(20! × 2)
= 11 × 21 
= 231

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