Can someone please explain the following question? I am also posting the solution but I didn't understand it well enough. Why is the answer (C)? Can someone explain it to me?(adsbygoogle = window.adsbygoogle || []).push({});

In a shooting competition, three targets are set as shown :

Condition :

Target (I) has four rings on which a person can hit in order from inside to outside.

Target (II) has three rings on which a person can hit in order from outside to inside.

Target (III) has five rings on which a person can hit in order from inside to outside.

The number of ways in which 12 shots (one at each ring) can be made :

[Hint : Any target can be chosen before not completing specific target but order of hit for a particular target should be as specified above in condition.]

(A) 12! /(4! 3! 5!)

(B) 12!/(4! 3! 5!) x 3!

(C) C(12,4) x C(8,3) x C(5,5)

(D) 12!

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# Permuations and Combinations Problem

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