A school has 9 maths teachers and 6 science teachers. In how many ways can a team of 4 maths teachers be formed from them such that the team must contain exactly 1 science teacher? A) 800 B) 720 C) 680 D) 504

A school has 9 maths teachers and 6 science teachers. In how many ways can a team of 4 maths teachers be formed from them such that the team must contain exactly 1 science teacher? A) 800 B) 720 C) 680 D) 504 
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1 Answer

Answer :

Answer: D)

The team should have 4 maths teachers. But the team must contain exactly 1 science teacher.

Hence, select 3 maths teachers from 9 maths teachers and select 1 science teachers from 6 science

teachers.

 Number of ways this can be done = 9C3 × 6C1

 ={9×8×7}/{3×2×1}X6

 = 504 / 6 × 6

 = 84 × 6

=504 
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