510,195 views
26 votes
26 votes
Use: nCk = n!/k! (n-k)!

At a local cafeteria there are ten vegetable selections available. How many three-vegetable plates may be made

User Abdullah Shafique
by
3.1k points

1 Answer

25 votes
25 votes

Answer:

120

Explanation:

The formula
nCk=(n!)/(k!(n-k)!) describes how many ways
k items can be chosen given
n total items. In this scenario,
n=10, and
k=3, thus:


(10!)/(3!(10-3)!)=120

This means that you can make 120 three-vegetable plates

User JeffMinsungKim
by
3.0k points