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Grade 12Algebra

Find the number of ways in which 5 boys and 5 girls be seated in a row so that all the girls are never together.

Profile image of Subodh Rastogi
11 Years agoGrade 12
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2 Answers

Profile image of noogler
11 Years ago
4!.5!
Profile image of Meet Singhal
11 Years ago
  1. You can permute the boys in = 5! ways, then you are left with 6 positions to place the girl.
  2. Place the girls in 6C5 ways
  3. Then permute the girls in 5! ways
So your answer is the multiplication of these 3 terms which is = 5! x 6C5 x 5! = 5! x 6!
 
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