there are 5 routes that a commuter can take from her home to the office. in how many ways can she make a round trip if she uses different routes for coming and going

Answer 1

Hello,

I believe the answer would be 20 because:

We have 5 routes that can be taken, we can label them as A B C D E,

Remember that the trip there and back have to be different (meaning no double combos)

The combinations for round trip (back and forth) are as followed:

AB AC AD AE

BA BC BD BE

CA CB CD CE

DA DB DC DE

EA EB EC ED = Total 20 Combinations.

I hope this helps!

Amal