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A group has 15 boys and 6 girls. If 3 girls are to be selected without replacement, in how many ways can they be selected?
  1. 22
  2. 21
  3. 20
  4. None of these
Explanation

Formula: nCr = n! / r!(n-r)!

Here n = 6 girls, r = 3 girls to select

6C3 = 6! / 3!(6-3)!  

= 6! / 3!3!  

= (6 x 5 x 4) / (3 x 2 x 1)  

= 120 / 6  

= 20


Last verified on 11-07-2026

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