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Math Help - score

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    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
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    Re: score

    Quote Originally Posted by ayushdadhwal View Post
    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
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