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Alecsey [184]
3 years ago
11

2x+14y=-108 9x+2y= 2 Solve the following system of equations using any method

Mathematics
1 answer:
Orlov [11]3 years ago
4 0
<span>2x+14y=-108
</span><span>63x+14y= 14       (multiply the second equation by 7 and subtract)
_____________
-61x=-122
x=-122/-61
x=2
2(2)+14y=-108
4+14y=-108
14y=-112
y=-112/14
y=-8

</span>
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We're going to be using combination since this question is asking how many different combinations of 10 people can be selected from a set of 23.

We would only use permutation if the order of the people in the committee mattered, which it seems it doesn't.

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C(n,r)=\dfrac{n!}{(n-r)!r!}

Where n represents the number of objects/people in the set and r represents the number of objects/people being chosen from the set

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C(23,10)=\dfrac{23!}{(23-10)!10!}

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Usually I would prefer solving such fractions by hand instead of a calculator, but factorials can result in large numbers and there is too much multiplication. Using a calculator, we get

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Thus, there are 1,144,066 different 10 person committees that can be selected from a pool of 23 people. Let me know if you need any clarifications, thanks!

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