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3 years ago

Is anyone good with permutations? I can’t quite get the answer right for 4 b)

Mathematics

1 answer:

ki77a [65]3 years ago

5 0

Answer: $\bold{4b)\quad _{10}C_2=45\qquad\qquad 5b)\quad _4C_1\ \cdot\ _7C_3=140}$

<u>Step-by-step explanation:</u>

4b) 2 members are pre-selected for the subcommittee, so there are 2 spots left and 10 people remaining to choose from. $_{10}C_2=\large\boxed{45}$

5b) 1 of the guards is pre-selected for the team, so there is only 1 spot left and 4 people remaining to choose from. <em>There are still 3 spots for the forwards out of 7 people.</em> $_4C_1\ \cdot\ _7C_3=4\times 35=\large\boxed{140}$

<em>Note: Your answers are correct for 4a and 5a</em>

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BlackZzzverrR [31]

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