Question: Refer to the map in Fig. 3. The number of shortest routes from A to B is C(9, 4). (a) Observe that the number of

Refer to the map in Fig. 3. The number of shortest routes from A to B is C(9, 4).

(a) Observe that the number of shortest routes from A to D is C(8, 3).

(b) Observe that the number of shortest routes from A to E is C(8, 4).

(c) By looking at Fig. 3, explain why C (8, 3) + C (8, 4) should equal C(9, 4).

(d) Calculate the values in part (c) to verify the equality.

D IB

D IB

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