FreqOfSums

FreqOfSum1.py

#!/usr/local/bin/python2.7

def FreqofSumFor3():
  n=range(1,4);
  freq={}
  for i in n:
    for j in n :
      for k in n:
        print i,j,k
        print "sum =",(i+j+k)
        if (freq.has_key(i+j+k)):
          freq[(i+j+k)]=1+freq[(i+j+k)]
        else:
          freq[(i+j+k)]=1
  return freq      

print FreqofSumFor3()

output:
1 1 1
sum = 3
1 1 2
sum = 4
1 1 3
sum = 5
1 2 1
sum = 4
1 2 2
sum = 5
1 2 3
sum = 6
1 3 1
sum = 5
1 3 2
sum = 6
1 3 3
sum = 7
2 1 1
sum = 4
2 1 2
sum = 5
2 1 3
sum = 6
2 2 1
sum = 5
2 2 2
sum = 6
2 2 3
sum = 7
2 3 1
sum = 6
2 3 2
sum = 7
2 3 3
sum = 8
3 1 1
sum = 5
3 1 2
sum = 6
3 1 3
sum = 7
3 2 1
sum = 6
3 2 2
sum = 7
3 2 3
sum = 8
3 3 1
sum = 7
3 3 2
sum = 8
3 3 3
sum = 9
{3: 1, 4: 3, 5: 6, 6: 7, 7: 6, 8: 3, 9: 1}