A small acting club has 6 members. Three of the members are to be chosen for a trip to see a Broadway play. How many different 2 member grou

Question

A small acting club has 6 members. Three of the members are to be chosen for a trip to see a Broadway play. How many different 2 member groups are possible?

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Everleigh 2 weeks 2021-09-07T16:26:20+00:00 1 Answer 0

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    2021-09-07T16:28:12+00:00

    Answer:

    15 ways

    Step-by-step explanation:

    C²₆ = \frac{6!}{2!} = \frac{6!}{4!2!} = \frac{1*2*3*4*5*6}{1*2*3*4*1*2} = \frac{5*6}{1*2} = \frac{30}{2} = 15

    Another way is that you choose the first member from the 6. Then you have remaining 5 members.

    6 × 5 = 30

    But since 2 people can be chosen in 2 ways (but they still form the same team), divide the product by 2.

    30 ÷ 2 = 15

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45:7+7-4:2-5:5*4+35:2 =? ( )