SOLUTION: In how many ways can you vote for 5 numbers be formed from a group of 60 numbers? Show for your work. Use formula: C (n,k)= n! (over) ---------- k! (n-k)!

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Question 623396: In how many ways can you vote for 5 numbers be formed from a group of 60 numbers? Show for your work.
Use formula:

C (n,k)= n! (over)
----------
k! (n-k)!
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
In how many ways can you vote for 5 numbers be formed from a group of 60 numbers? Show for your work.
Use formula:

C%28n%2Ck%29=+n%21%2F%28k%21%28n-k%29%21%29
.
n is 60
5 is k
.
substitute into:
C%28n%2Ck%29=+n%21%2F%28k%21%28n-k%29%21%29
C%2860%2C5%29=+10%21%2F%285%21%2810-5%29%21%29
C%2860%2C5%29=+10%21%2F%285%215%21%29
C%2860%2C5%29=+5%21%286%2A7%2A8%2A9%2A10%29%2F%285%215%21%29
C%2860%2C5%29=+%286%2A7%2A8%2A9%2A10%29%2F5%21
C%2860%2C5%29=+%286%2A7%2A8%2A9%2A10%29%2F%281%2A2%2A3%2A4%2A5%29
C%2860%2C5%29=+%287%2A8%2A9%2A10%29%2F%284%2A5%29
C%2860%2C5%29=+%287%2A8%2A9%2A2%29%2F%284%29
C%2860%2C5%29=+1008%2F4
C%2860%2C5%29=+252