Thread: score

in a shooting competition a man can score 0,2,4 points for each shot .then the number of different ways in which he can score 14 points in 5 shots is

Originally Posted by ayushdadhwal

in a shooting competition a man can score 0,2,4 points for each shot .then the number of different ways in which he can score 14 points in 5 shots is

He has to get at least 2 fours since (4+ 4(2) = 12) and obviously the max he can get with no fours is 10. Similarly he cannot get more than 4 fours because that would be too high

Brute forcing it:

4, 4, 4, 2, 0
4, 4, 2, 2, 2