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zepelin [54]
3 years ago
10

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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