120 different ways can you choose your dinner.
Given that, your mom suggested ten different choices for you to eat for dinner over the next week.
In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter.
The combination formula is [tex]nC_{r} =\frac{n!}{r!(n-r)!}[/tex]
Here, n= number of sample points 10
r= number of sample points in each combination 7
Now, [tex]10C_{7} =\frac{10!}{7!(10-7)!}[/tex]
⇒[tex]10C_{7} =\frac{10!}{7!.3!}[/tex]=120
Hence, 120 different ways can you choose your dinner.
To learn more about the combinations visit:
https://brainly.com/question/13387529.
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