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JulijaS [17]
3 years ago
5

Please answer number 9

Mathematics
2 answers:
tester [92]3 years ago
6 0
The answer is B.
Hope this helps!
Lorico [155]3 years ago
5 0
It's correct the answer is B
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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
Morgarella [4.7K]

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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3 years ago
There are (108)2 ⋅ 100 candies in a store. What is the total number of candies in the store?
Vikentia [17]
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3 years ago
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