Question

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In the given figure, number of ways to fill a, b, c, d and e into boxes such that no row is empty and at most one letter is filled in one box, is 

(1) 5670

(2) 5760

(3) 5880

(4) 720

Answer 1

Correct option is: (2) 5760 

Let x, y, z be the number of box which are filled 

\(\Rightarrow 1 \leq x \leq 3,1 \leq y \leq 3,1 \leq z \leq 2\)  

Total ways = (48) to fill boxes

Now to arrange a, b, c, d and e

Number of ways will be 48.5! = 5760