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 :

Question

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 : (A) 20 (B) 24 (C) 30 (D) none

Tardigrade Admin · Accepted Answer

44420 or 44222 ⇒ (5 !/3 !)+(5 !/3 ! 2 !)=30 ways

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 :

20

24

30

none

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

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 :

20

24

30

none

44420 or 44222⇒3!5!​+3!2!5!​=30 ways

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