Question 1129999
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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.
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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

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF =http://www.algebra.com/algebra/homework/Permutations/Introduction-to-Combinations-.lesson>Introduction to Combinations</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF =http://www.algebra.com/algebra/homework/Permutations/PROOF-of-the-formula-on-the-number-of-combinations.lesson>PROOF of the formula on the number of Combinations</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF =http://www.algebra.com/algebra/homework/Permutations/Problems-on-Combinations.lesson>Problems on Combinations</A>

in this site.



&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;H&nbsp;a&nbsp;p&nbsp;p&nbsp;y &nbsp;&nbsp;l&nbsp;e&nbsp;a&nbsp;r&nbsp;n&nbsp;i&nbsp;n&nbsp;g &nbsp;!&nbsp;!



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Hello,


I got your comment, &nbsp;where you state 


<pre>
    Obviously I am familiar enough with combinations to be doing the homework, and to have gotten the right answer.
</pre>

I am very glad to hear it; &nbsp;but it contradicts to your other statement in your post


<pre>
    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.
</pre>


Is my understanding correct that you know and don't know at the same time ?