we have to distribute 6 apples in 2boys such that both of them atleast gets one....
thrfore total no of ways of doing it
= the coeffecient of x6 in the expansion of (x+x2+x3+x4+x5)2
= the coeffecient of x4 in the expansion of (1-x)-2 [using the formula for GP, nd then neglecting higher order term]
= 4+2-1C4
=5
similarly for 8 bananas, we have total no ways = 6+2-1C6 = 7
and for 11 oranges we have, total no ways = 9+2-1C9 = 10
thrfore total no ways = 5. 7. 10
= 350