Question

The no. of ways, in which the letters, A,B,C,D,E can be placed in the 8 boxes of the figure below, so that no row remains empty and at most one letter can be placed in a box is:

(1) 960

(2) 5880

(3) 5760

(4) 840

Answer 1

Correct option is: (3) 5760 

A, B, C, D, E 5 objects can be occupy row-wise as follows

\(= ((12) + (18 + 9 + 9)) \times 5!\) 

\(= (12 + 36) \times 120\) 

\(= 48 \times 120 = 5760\)