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How many subsets of the set $\{1,2,3,4, 5, 6, 7, 8, 9, 10\}$ contain the number 5, 6, and 7?

 
 Nov 25, 2021
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Take 5,6, and 7 

 

Now you can add  0 more, or 1 more or 2 more etc right up to all of them.

1 more   7C1 ways

2 more   7C2 ways

 

etc.

Now if you have any idea what I'm talking about you can finish it easily. 

 
 Nov 25, 2021

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