1.

A group consists of 5 girls and 7 boys. In how many ways can a team of 5 members be selected if the team has at least one boy and one girl.

Answer»

Number of ways of selecting 

1B and 4G = 7C1 × 5C4 = 35 

2B and 36 = 7C2 × 5C3 = 210 

3B and 2G = 7C3 × 5C2 = 350 

4B and 1G = 7C4 × 5C1 = 175 (+) 

Total number of selections = 770.



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