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vekshin1
2 years ago
5

Cal is packing his suitcase to go on a trip. He wants to pack 4 pairs of pants chosen from the 8 pairs of pants in his closet an

d 5 shirts chosen from the 9 shirts in his closet. In how many different ways can this be done?
Mathematics
1 answer:
11111nata11111 [884]2 years ago
4 0

Answer:

8820 ways

Step-by-step explanation:

Given that :

Selecting 4 pairs of pant from 8 available and selecting 5 shirts from 9 available

Using combination :

4 pants from 8 = 8C4

5 shirts from 9 = 9C5

Recall:

nCr = n! / (n-r)! r!

8C4 * 9C5 = [8! /(8-4)!4!] * [9! /(9-5)!5!]

8C4 * 9C5 = (8! /4!4!) * (9! /4!5!)

8C4 * 9C5 = 70 * 126

8C4 * 9C5 = 8820 ways

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MATH DETECTIVE:
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Answer:

- 5

Step-by-step explanation:

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6 0
3 years ago
Which expression is equivalent to the one below?
FromTheMoon [43]
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7 0
3 years ago
Suppose that the last dollar that Victoria receives as income brings her a marginal utility of 10 utils while the last dollar th
GaryK [48]

Answer: A

Suppose that the last dollar that Victoria receives as income

brings her a marginal utility of 10 utils while the last dollar that

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15 utils. If our goal is to maximize the combined total utility of

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Marginal utility is the added satisfaction derived from consuming an additional unit of a good or service. In the above question, Fredrick derives more satisfaction from his last dollar than Victoria, and will therefore achieve a higher marginal utility with additional income than Victoria does with her current income. If we want to maximize the combined utility, we should redistribute income from Victoria to Fredrick.

The logic behind this is the diminishing marginal utility. The first unit of a good consumed gives the highest level of satisfaction, marginal utility reduces with additional units consumed.  In the same way, when we spend our income, we purchase the things that give us the maximum satisfaction first.

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6 0
3 years ago
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