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Mathematics 18 Online
OpenStudy (elizabethpase):

A law firm has eleven male and ten female lawyers. A committee of five, two male lawyers and three female lawyers, is to be chosen to represent the firm at a conference. How many committees are possible? (If necessary, type the number with no commas or spaces. For example: 258963)

satellite73 (satellite73):

same as the last one \[\binom{11}{2}\times \binom{10}{3}\]

satellite73 (satellite73):

i.e. the number of ways to choose 2 out of 11 times the number of ways to choose 3 out of 10

OpenStudy (elizabethpase):

see i did that last time and i got the wrong answer

satellite73 (satellite73):

did you multiply?

satellite73 (satellite73):

here it is in the calculator

OpenStudy (elizabethpase):

no, from that first step i think i plugged in the wrong numbers in different order

OpenStudy (elizabethpase):

so the answer is 6600? or do i have to multiply again?

satellite73 (satellite73):

that is the final answer

OpenStudy (elizabethpase):

okay thank you so much for your help!

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