Question 1129999: The U.S. Senate has 100 members. Suppose that it is desired to place each senator on exactly 1 of 7 possible committees.
The first committee has 22 members, the second has 13, the third has 12, the fourth has 7, the fifth has 16, and the sixth and seventh have 15 apiece. In how many ways can these committees be formed?
The answer is C(100,22)*C(78,13)*C(65,12)*C(53,7)*C(46,16)*C(30,15)*C(15,15). But I don't know how to calculate that into scientific notation, rounded to 4 decimal places.
Answer by ikleyn(52777)   (Show Source):
You can put this solution on YOUR website! .
The U.S. Senate has 100 members. Suppose that it is desired to place each senator on exactly 1 of 7 possible committees.
The first committee has 22 members, the second has 13, the third has 12, the fourth has 7, the fifth has 16,
and the sixth and seventh have 15 apiece. In how many ways can these committees be formed?
The answer is C(100,22)*C(78,13)*C(65,12)*C(53,7)*C(46,16)*C(30,15)*C(15,15). But I don't know how to calculate that into scientific notation,
rounded to 4 decimal places.
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Reading your post, I clearly see that you are not familiar with the notion/conception "combinations".
With such a level of knowledge, there is no sense to explain it to you.
But there is a good opportunity for you: you may learn it from my lessons
- Introduction to Combinations
- PROOF of the formula on the number of Combinations
- Problems on Combinations
in this site.
H a p p y l e a r n i n g ! !
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Hello,
I got your comment, where you state
Obviously I am familiar enough with combinations to be doing the homework, and to have gotten the right answer.
I am very glad to hear it; but it contradicts to your other statement in your post
The answer is C(100,22)*C(78,13)*C(65,12)*C(53,7)*C(46,16)*C(30,15)*C(15,15).
But I don't know how to calculate that into scientific notation, rounded to 4 decimal places.
Is my understanding correct that you know and don't know at the same time ?
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