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There are 14 people in an office with 3 different phone lines. If all the lines begin to ring at once, how many groups of 33 people can answer these lines

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JeanaShupp

Answer: 2184

Step-by-step explanation:

The number of permutations of choosing r things out of n things:

[tex]^nP_r=\dfrac{n!}{(n-r)!}[/tex]

Total people = 14

Number of phone lines = 3

For first call, there are 14 people , one of them will take then for next call there are remaining 13 people and so on. i.e. order matters

Number of permutations = [tex]^{14}P_3=\dfrac{14!}{(14-3)!}=\dfrac{14\times13\times12\times11!}{11!}[/tex]

[tex]=14\times13\times12= 2184[/tex]

Required number of ways = 2184

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