Emily is having a birthday party with 7 guests (not including herself) a) The kids (including the host Emily) line up in alphabetical order. Emily’s mother comes with a bucket that has cardboard cut-out number in it; it contains exactly one copy of each of the 10 numbers 0 to 9. The children line up, and each child picks a cardboard cut-out randomly and holds it up above his or her head. What is the probability that the number that is formed is 1,234,567? What is the probability that the number that is formed is greater than or equal to 4,000,000? b) 3 of the guests, Joe, Ray and Millie have brown hair; all other kids have blond hair. For a particular game, Emily’s father selects a team of 3 kids with brown hair and 2 kids with blond hair. In how many different ways can he put together this team?

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Emily is having a birthday party with 7 guests (not including herself)

a) The kids (including the host Emily) line up in alphabetical order. Emily’s mother comes with a bucket that has cardboard cut-out number in it; it contains exactly one copy of each of the 10 numbers 0 to 9. The children line up, and each child picks a cardboard cut-out randomly and holds it up above his or her head. What is the probability that the number that is formed is 1,234,567? What is the probability that the number that is formed is greater than or equal to 4,000,000?


b) 3 of the guests, Joe, Ray and Millie have brown hair; all other kids have blond hair. For a particular game, Emily’s father selects a team of 3 kids with brown hair and 2 kids with blond hair. In how many different ways can he put together this team?



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