Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.
1 answer:
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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.
Formula for combination:
Where represents the number of objects/people in the set and
represents the number of objects/people being chosen from the set
There are 23 people in the set and 10 people being chosen from the set
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
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!
~ Padoru
Answer:
1) A = 547.1136, C = 82.896
2) A = 678.5226, C = 92.316
3) A = 844.5344, C = 102.992
4) A = 1554.49625, C = 139.73
5) A = 1561.4906, C = 140.044
6) A = 994.8776, C = 111.784
Step-by-step explanation:
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