There is a group of five children, where two of the children are twins. In how many ways can I distribute 17 identical pieces of candy to the children, if the twins must get an equal amount of candy?
a=listfor(n, 0/2, 18/2, (19 -2*n) nCr 2);print a, "=", sum a
(171, 136, 105, 78, 55, 36, 21, 10, 3 ) = 615 ways of distributing 17 candies to 3 kids + 2 twins.
171 ways of distributing the candies to the 3 remaining kids when the twins get "0" candies each
136 ............................................................................................................................ 1 ...................
105............................................................................................................................. 2 ..................
78 .............................................................................................................................. 3 ..................
55 .............................................................................................................................. 4 ..................
36 .............................................................................................................................. 5 ..................
21 ............................................................................................................................... 6 ..................
10 ............................................................................................................................... 7 ..................
3 ................................................................................................................................. 8 ..................
