SOLUTION: 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

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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(52778)   (Show Source): You can put this solution on YOUR website!
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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.
~~~~~~~~~~~~~~~~~~~`


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  ! !


-------------------

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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