Sum to 5
Number Theory
Level
2
The number 3 can be expressed as the sum of one or more positive integers in 4 different ways: 3; 1+2; 2+1; 1+1+1.
In how many ways can the number 5 be expressed?
The answer is 16.
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1 solution
1+1+1+1+1, 1+1+1+2, 1+1+2+1, 1+2+1+1, 2+1+1+1, 1+2+2, 2+1+2, 2+2+1, 1+1+3, 1+3+1, 3+1+1, 1+4, 4+1, 2+3, 3+2, 5 = 16
answer = 16.