Three pairs of dice are rolled simultaneously. In how many different ways can the sum of the numbers appearing on the top faces of the 3 dices be 9?
As learnt in concept
Sum Rule of Association -
Let A can occurs in m ways and B can occurs in n ways and both cannot occur simultaneously. Then A or B can occurs in (m + n) ways.
- wherein
A or B means at least one of them.
Sum=9 can be written in several ways.
(i) 6+2+1 6 ways
(ii) 4+3+2 6 ways
(iii) 3+3+3 1 way
(iv) 2+2+5 3 ways
(v) 1+3+5 6 ways
(vi) 1+4+4 3 ways
25 ways