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Angelina_Jolie [31]
3 years ago
10

A firm has 25 senior and 26 junior partners. A committee of three partners is selected at random to represent the firm at a conf

erence. In how many ways can at least one of the junior partners be chosen to be on the committee?
Business
1 answer:
Sergio [31]3 years ago
6 0

Answer:

There are 18,525 ways to choose at least one of the junior partners to be on the committee.

Explanation:

If all partners can be chosen in any way the choices would be combinations of any 3 partners from all 51 partners. The number of ways to arrange it would be:

A = {51 \choose 3} = \frac{51!}{3!(51-3)!}  = 20,825

The opposite of choosing at least one junior partner is to choose no junior partner. Those choices would be combinations of any 3 partners from 25 senior partners. The number of ways to arrange it would be

B =  {25 \choose 3} = \frac{25!}{3!(25-3)!}  = 2,300

So the number of ways to choose at least one of the junior partners to be on the committee would be: A - B = 20,825 - 2,300 = 18,525

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Answer:

The correct option is<em> "A." which is  "believed that the free market assured personal freedom."</em>

The Young Americans for Freedom was based on the<em> Sharon Statement.</em>

<em></em>

Explanation:

<em>The Young Americans for Freedom (YAF) </em><em>is an ideologically conservative youth activism organization that was founded in 1960 as a coalition between traditional conservatives and libertarians on American college campuses.</em>

<em />

<em>The summary of the Core Principles of the Sharon Statement are:</em>

  • <em>    Individual freedom and the right of governing originate with God;</em>
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8 0
3 years ago
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A stock has annual returns of 5 percent, 21 percent, -12 percent, 7 percent, and -6 percent for the past five years. The arithme
sergij07 [2.7K]

Answer:

Arithmetic = 3%

Geometric = 2.37%

Explanation:

The arithmetic average of 'n' returns is given by:

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A=\frac{0.05+0.21-0.12+0.07-0.06}{5}\\ A=0.03=3\%

The geometric average of 'n' returns is given by:

G=\sqrt[n]{(1+r_1)*(1+r_2)*...*(1+r_n)}-1

For five returns of 5% ,21%, -12%, 7%, and -6%:

G=\sqrt[5]{(1+0.05)*(1+0.21)*(1-0.12)*(1+0.07)*(1-0.06)}-1\\G=0.0237=2.37\%

8 0
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Which of the following tactics might public sector unions use to increase management's cost of disagreeing with the union positi
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Answer:

D. All the above are legal tactics that the union can use to pressure management to accept the union's position on an issue.

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3 years ago
"Ethan (single) purchased his home on July 1, 2009. He lived in the home as his principal residence until July 1, 2016, when he
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168,000 is amount of the gain is Ethan allowed to exclude from his gross income

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He is allowed to exclude = ($210,000 - $42,000)

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7 0
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phyllis, who is single, has itemized deductions totaling $20,000. she overpaid her 2018 state income tax and is entitled to a re
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