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

Permutations and Combinations

Solution:

44420 or $44222 \Rightarrow \frac{5 !}{3 !}+\frac{5 !}{3 ! 2 !}=30$ ways