Basic Permutation Combination Question

Hi Shilhshah,

1. A to C via B

The number of ways to go from A to B are 4

The number of ways to go from B to C are 3

Thus the number of ways to go from A to C via B are 4*3 = 12

2. A to C via B round trip

The number of ways in which he can go to C from A = 12(same as above question)

The number of ways he can come back from C to B are 2 (he cant take the route he took while coming)

The number of ways he can come back from B to A are 3

Thus the total no of ways he can make a round trip are: 12*3*2 = 72

 

Topper Learning Team