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Suppose that 3 boys and 2 girls go to the theater and occupy 5 seats in a row. In how many ways can they be seated if all 3 boys sit together?
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B=boy, G=girl (BBB)GG G(BBB)G GG(BBB) But the three boys can change order as well, so 3! for them And we have three "objects" to permutate - two girls and the group of boys - so 3! for that Then just multiply 3!*3!
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