Love For MathCreative Math Education

DIY Challenge 4: Routes between cities

Different routes are shown between cities A, B, C, D and E.

A person starts from A.

  1. How many different routes are there to reach C?
  2. How many different routes are there to reach D?

What students worked out9

  • Student 2

    13 routes to C
    13 routes to D

  • Student 11

    For C=13
    For D=13

  • Student 4

    13 ways to reach C
    13 ways to reach D
    Because you connect each of the ways leading to C to the path to D🛣

  • Student 18

    can we also count the route ABDC or ABEDC or ABEDC

  • Student 15

    ya it is indeed 13 for C but for D I think it is 13 or 14

  • Student 14

    1. 13 ways
    2. 13 ways

  • Student 9

    There are 13 ways for both the questions.

  • Student 1

    there are 13 ways for both

  • Student 3

    13 ways to reach C
    A to C directly 2 routes
    A to C via B 9 routes
    A to C via E 2 routes

    13 ways same for D as well