In how many ways can a team of 3 boys and 3 girls be selected from 5 boys and 4 girls?

Given that we need to select a team consisting of 3 boys and 3 girls out of 5 boys and 4 girls.


Let us assume the no. of ways of selection be N.


N = (Selecting 3 boys out of 5 boys) × (selecting 3 girls out of 4 girls)


N = (5C3) × (4C3)


We know that ,


And also n! = (n)(n – 1)......2.1





N = (10) × (4)


N = 40


The no. of ways of selecting 3 boys and 3 girls is 40.


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