Question

Each of the three kids gets at least one color box out of 6 color boxes, at least one tiffin box out of 6 tiffin box and at least one chocolate box out of 6 chocolate boxes so that the total number of the items that each of them gets is the same. No one gets the same number of tiffin boxes, color boxes and chocolate boxes. Then which of the following can be TRUE?

Accepted Answer

D. Total items = $6 + 6 + 6 = 18$. Each kid receives $\frac{18}{3} = 6$ items. Each kid receives a distinct number of tiffin, color, and chocolate boxes, and each box count $\ge 1$. The only partition of 6 into 3 distinct positive integers is $1 + 2 + 3 = 6$. Thus each kid gets 1, 2, and 3 boxes of the three types in some order.

Distribution of boxes among three kids

Explanation

Practise this under exam conditions