Find all integer partitions of 15. Select all partitions which are odd and at the same time distinct partitions.
Added by John M.
Step 1
An integer partition of a positive integer n is a way of writing n as a sum of positive integers, where the order of the summands does not matter. For example, the integer partitions of 4 are: 4 3 + 1 2 + 2 2 + 1 + 1 1 + 1 + 1 + 1 Show more…
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Text: Calculate the number of partitions p(n) of a finite set of n elements from n=1 to n=50. Or you can do it by hand without a computer or describe how to do it by hand. Examples: n=2, p(2)=2 {a,b} {a},{b} n=3, p(3)=5 {a,b,c} {ab},{c} {ac},{b} {bc},{a} {a},{b},{c} n=4, p(4)=15 {abcd}, 1 {abc},{d}, 2 {acd},{b}, 3 {abd},{c}, 4 {bcd},{a}, 5 {ab},{cd}, 6 {ac},{bd}, 7 {ad},{bc}, 8 {ab},{c},{d}, 9 {ac},{b},{d}, 10 {ad},{b},{c}, 11 {bc},{a},{d}, 12 {cd},{a},{b}, 13 {bd},{a},{c}, 14 {a},{b},{c},{d}, 15
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