The number of ways in which we can arrange 5 red balls, 5blue balls , 5 orange ballsand 5 green balls such that neitherred balls nor orange balls can appear in the first fivepositions,blue balls and green balls cannot appear in the next fivepositions againorange balls and red balls cannot appear in thenext five positions and green balls andblue balls cannotappear in the last five positions is k², find sum of digits of k.

QUESTION 

The number of ways in which we can arrange 5 red balls, 5

blue balls , 5 orange ballsand 5 green balls such that neither

red balls nor orange balls can appear in the first fivepositions,

blue balls and green balls cannot appear in the next five

positions againorange balls and red balls cannot appear in the

next five positions and green balls andblue balls cannot

appear in the last five positions is k²

, find sum of digits of k.

SOLUTION LINK