AMC 8 Daily Practice Round 1

Complete problem set with solutions and individual problem pages

Problem 1 Hard

From City A to City B, one can travel by bus, ship, or train. The bus runs 3 times a day, the ship 2 times a day, and the train 6 times a day. In total, how many different ways are there that travel from City A to City B in one day?

  • A.

    7

  • B.

    9

  • C.

    11

  • D.

    13

  • E.

    15

Answer:C

Since one can travel directly from City A to City B by bus, ship, or train, this problem can be considered in three cases.

Taking the bus gives 3 ways, taking the ship gives 2 ways, and taking the train gives 6 ways.

Therefore, the total number of ways to travel from City A to City B is 3 + 2 + 6 = 11 \quad \text{(ways)}.

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