3.in how many ways can 4 be expressed as a sum of 2 or more postive whole number( count 3+1 and 1+3 as deffere

Answer 1

Your partitions of four are given by (1, 1, 1, 1) (1 version), (1, 1, 2) (3 versions), (2, 2) (1 version), and (1, 3) (2 versions). Each version is a different partition (ways to express 4 as a sum), so your answer is 1+3+1+2 = 7. Specifically (1+1+1+1), (1+1+2), (1+2+1), (2+1+1), (2+2), (1+3), and (3+1).

Answer 2

My answer would be 8.

0+4
4+0
1+3
3+1
2+2
1+1+1+1
2+1+1
1+2+1
1+1+2