Question

If first operation can be done in m ways and second operation can be done in n ways, and third operation in p ways, then in how many ways all the three operations can be done

Answer 1

Answer: We can perform all the three operations together in p*m*n ways.

Explanation:

The answer lies in the multiplication principle which states that if a task can be performed in n ways and another in m ways then they both can be performed together in m*n ways.

For example, if you have the choice of boarding 10 trains from station X to reach station Y and have another 15 choices of trains to board from station Y to reach station Z. Then the total number of ways in which you can reach Station Z from Station X is 10*15 = 150.