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lakkis [162]
3 years ago
6

There are 2 Senators from each of 50 states. We wish to make a 3-Senator committee in which no two members are from the same sta

te. b How many ways can we choose a Senator from a chosen state? c How many ways can the 3-Senator committee be formed such that no two Senators are from the same state?
Mathematics
1 answer:
Morgarella [4.7K]3 years ago
6 0

Answer:

a) rCn = 1176

b) 2352

Step-by-step explanation:

a)Each committee should be formed with 3 members ( no two members could be of the same state) then

Let´s  fix a senator for any of the 50 states so in the new condition we need to combined 49 senators in groups of 2 then

rCn =  n! / (n - r )! *r!

rCn =  49!/ (49 - 2)!*2!

rCn =  49*48*47! / 47!*2!

rCn = 49*48 /2

rCn = 1176

So we can choose in 1176 different ways a senator for a given state

b) To answer this question we have to note, that, 1176 is the number of ways a committee can be formed with senators of different sate (taking just one senator for state ) if we have 2 senators we need to multiply that figure by 2.

1176*2 = 2352

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Step-by-step explanation:

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2/3 = 20/30

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Hope this helps, have a nice day :))

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3 years ago
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WARRIOR [948]

Answer:

I did my best, but it has been a while. I really hope that this helps

Step-by-step explanation:

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3 years ago
Find the value of g(7) for the function below.
algol [13]
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3 years ago
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Talja [164]

Answer:

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Step-by-step explanation:

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g ... glasses of lemonade

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Read more on Brainly.com - brainly.com/question/1638432#readmore

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The information that should be considered as follows:

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