SOLUTION: I have 20 students, how many ways can I form a 10 student committee?

Question 427880: I have 20 students, how many ways can I form a 10 student committee?
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
If you have 20 students, the number of different ways you can form a 10-member committee is given by the expression:
20 C 10 or
20!/10!10!
which is 20 factorial divided by (10 factorial times 10 factorial)

20*19*18*17*16*15*14*13*12*11*10!
---------------------------------
10*9*8*7*6*5*4*3*2*1*10!
=
19*17*13*11*4 = 184756
Thus there are 184,756 different ways of choosing 10 people out of a 20 person pool.
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