I travel by car from Bali to Palu via Mimpi. If there are 5 routes from Bali to Mimpi, while there are 3 routes from Mimpi to Palu, then many ways to do this trip are A.15 B.18 C.20 D.23 E.25

Question

Please someone help me. I will really appreciate it :)

Answer 1

"there are 5 routes from Bali to Mimpi"

Let's name them A, B, C, D, and E

"there are 3 routes from Mimpi to Palu"

Let's name them a, b, and c (lower case)

Now you can take route Aa, or Ab, or Ac .... or Ba or Bb or Bc ... Does that make sense?

So if your first route is route A, then you have 3 options for your second route (a b and c)

And if your first route is route B, then you have 3 options

3 for C, 3 for D, and 3 for E.

This counts Ab and Ba differently, which they are. So we're done. How many different routes does that give us?

Answer 2

A. 15

5x3=15