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Liula [17]
3 years ago
8

A quad-core processor can handle 1 program on each of its 4 cores at the same time. If there are 20 programs queued to run on it

, and each program can only be assigned to one core, how many different combinations of programs can be run at the same time*
Computers and Technology
1 answer:
Viefleur [7K]3 years ago
8 0

Answer:

4845 different combinations of programs

Explanation:

A combination is an arrangement where order is NOT important.

In this case, the number of different combinations of assignments of the programs is,

_^{20}C_{4} = \frac{20!}{4!(20-4)!}

_^{20}C_{4} = \frac{20.19.18.17.16!}{4.3.2.1(16)!}

_^{20}C_{4} = \frac{20.19.18.17}{4.3.2.1}

_^{20}C_{4} = \frac{116280}{24}=4845

Hope this helps!

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