four darts are thrown at a dart board .if all four darts hit the board,how many different point total are possible

bullseye 9
second circle 7
third circle 4
outer circle 1

2 answers

I can't see any other way than listing the possible cases and finding the total score for each case. Using the first letter of each outcome, we could have

BBBB -- 36
BBBS -- 34
BBBT -- 31
BBBO -- 28

BBSS -- 32
BBTT -- 26
BBOO -- 20

BBST -- 29
BBSO --
BBTO

etc, watch for duplication of totals
40