Question

A class has 12 boys and 18 girls. The teacher selects 3 boys and 3 girls...

A class has 12 boys and 18 girls. The teacher selects 3 boys and 3 girls to act has representatives to the student government. How many different ways can the teacher select the 6 students?

In a game of poker, five players are each dealt 5 cards from a 52-card deck. How many ways are there to deal the cards?

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Answer #1

first part

3 boys can be selected from 12boys in ways =220 ways

3 girls can be selected from 18 girls in ways = 816 ways

therefore the teacher selects 6 students in 220*816 = 179520 ways

second part

first player selects 5 cards from 52 cards in ways

second player selects 5 cards from remaining 47 cards in ways

continuing like this

number of ways to deal the cards is

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