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

 May 12, 2019
 #1
avatar+2552 
+4

This problem was answered before

 

There are 2^10 different subsets in the original set.

 

Now let us just subtract subsets without a 5

 

Let us just pretend you have set without a 5

 

So {1 2 3 4 6 7 8 9 10} Is your new set

 

So how many subsets can you make from that?

 

2^9 subsets

 

2^10 - 2^9 = 512 different subsets

 

NOTE: 2^10 - 2^9 is NOT 2.

 

So there you have it! :D:D:D

 May 12, 2019
 #2
avatar+78 
-1

Thanks so much :)

doorknoob  May 12, 2019
 #3
avatar+84 
+4

Great reminder at the bottom there.

Bxtterman  May 12, 2019

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