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bogdanovich [222]

2 years ago

13

At a high school the student government is made up of 5 seniors, 4 juniors, 3 sophomores and 2 freshmen. If there are 8 seniors,

9 juniors, 12 sophomores and 7 freshmen running, in how many ways can the student government be selected?

1 answer:

hjlf2 years ago

5 0

Answer:

32598720

Step-by-step explanation:

<u>Combination for the school government requires:</u>

5 out of 8 seniors = 8! / 3!5! = 6*7*8/2*3 = 7*8 = 56
4 out of 9 juniors = 9! / 4!5! = 6*7*8*9/2*3*4= 7*2*9 = 126
3 out of 12 sophomores = 12! / 3!9! = 10*11*12/2*3 = 10*11*2 = 220
2 out of 7 fishermen = 7! / 2!5! = 6*7/2 = 21

<u>So number of total ways is:</u>

56*126*220*21 = 32598720

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2 years ago

Read 2 more answers

Help me with this one problem please :( <br> Find the following arc measures.

r-ruslan [8.4K]

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Step-by-step explanation:

We know that Angle NPM is equal to 90 degrees.

Therefore, Angle KPM is also equal to 90 degrees.

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Thus, the measure for Arc KL is equal to $90-67=23$

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2 years ago

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Ilia_Sergeevich [38]

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2 years ago

The cup was filled at a constant rate. It started empty. After 2 seconds, it held 70 cm cubed of water.Find the percent of the c

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Answer:

In 3 seconds the cup is filled with $105\ cm^3$ <u>.</u>

Step-by-step explanation:

Given:

2 seconds = $70\ cm^3$ water

We need to find the percent of the cup that is filled with water after 3 seconds.

Solution:

Now Given:

The cup was filled at a constant rate.

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By Using Unitary method we get;

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6 0

2 years ago