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zitterkoph
01.07.2019 •
Mathematics
There are 10 people in an office with 4 different phone lines. if all the lines begin to ring at once, how many groups of 4 people can answer these lines?
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Ответ:
210
Step-by-step explanation:
We are given that
Total number of peoples=n=10
Number of different phone lines=r=4
We have to find the number of groups of 4 people can answer 4 lines when all lines begin to ring at once.
Using combination formula
Substitute the values in the given formula
Then , we get number of groups of 4 people can answer 4 lines=![10C_4](/tpl/images/0039/6850/9023e.png)
Number o groups of 4 peoples=![\frac{10!}{4!(10-4!}=\frac{10!}{4!6!}](/tpl/images/0039/6850/7a6fb.png)
Number o groups of 4 peoples=![\frac{10\times 9\times 8\times 7\times 6!}{4\times 3\times 2\times 1\times 6!}=10\times 3\times 7=210](/tpl/images/0039/6850/e78a9.png)
Hence, 210 groups of 4 peoples can be made and answer these 4 lines.
Ответ:
75
Step-by-step explanation:
375 divided by 5=75