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How many numbers can be expressed as the sum of two or more distinct elements of the set {0,1,2,3,4,5}?

 Jul 6, 2021
 #1
avatar+121047 
+1

We can express any integer  sum from  1  to  15  inclusive

 

 

cool cool cool

 Jul 6, 2021
edited by CPhill  Jul 6, 2021
 #2
avatar+785 
+1

Minimum: You want the least numbers possible, and for those numbers you want the least of your set, namely 0 and 1. 

Maximum: You want the most numbers possible, and there isn't an upper bound, so 0 + 1 + 2 + 3 + 4 + 5 = 15 is your max.

Thus, [1, 15]

Verify:

0+1

0+2

0+3

0+4

0+5

1+5

2+5

3+5

4+5

1+2+3+4

1+2+3+5

1+2+4+5

1+3+4+5

2+3+4+5

1+2+3+4+5


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