A probability problem by Iftekher Ahmed

In how many ways a team of 3 boys and 2 girls can be formed from a group of 6 boys and 5 girls?

150 100 120 200

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2 solutions

Mohit Gupta
Dec 1, 2015

Just a suggestion change topic to combinatorics

We can choose 3 boys from the 6 boys, we can do it in 6 C 3 = 20 _6C_3=20 ways.

We can choose 2 girls from the 5 girls, we can do it in 5 C 2 = 10 _5C_2=10 ways.

By multiplication rule, the number of ways is 20 × 10 = 200 20 \times 10 = 200 .

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