Answer:
a. 3, 1, 1, 1, 1, 1
b. 7, 1, 1, 1, 1, 1
c. can't do if throwing all 6 darts
d. 9, 9, 7, 1, 1, 1
e. can't do, as throwing 6 9s only gives us 54 points.
Explanation:
We throw 6 darts, each yields us a score of 1, 3, 5, 7 or 9.
We need to answer how we could make a total of:
a. 8
b. 12
c. 27
d. 28
e. 56
I am not entirely clear as to if throwing fewer than 6 darts is allowed, but we'd only need it for c.
The reason we need to throw fewer than 6 for c. is that all the scores are odd, so adding 6 odd scores will always give an even score.
We can create the scores by throwing for the highest score that lets us throw the remaning darts at 1 or more.
a. 3, 1, 1, 1, 1, 1
b. 7, 1, 1, 1, 1, 1
c. can't do if throwing all 6 darts
d. 9, 9, 7, 1, 1, 1
e. can't do, as throwing 6 9s only gives us 54 points.