How many different boat parties of 8 consisting of 5 boys and 3 girls can be made from 20 boys and 10 girls.

Number of ways of choosing 5 boys out of 20 boys = 20C5




= 19 × 17 × 16 × 3 = 15,504


Number of ways of choosing 3 girls out of 10 girls = 10C3




= 15 × 8 = 120


Total number of ways = 120 × 15,504 = 1,860,480


OR


Total number of ways = 20C5 × 10C3


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