# An operation consists of two steps, of which the firstcan

**Chapter 1, Problem 1**

(choose chapter or problem)

An operation consists of two steps, of which the firstcan be made in n1 ways. If the first step is made in the ithway, the second step can be made in n2i ways.(a) Use a tree diagram to find a formula for the total numberof ways in which the total operation can be made.(b) A student can study 0, 1, 2, or 3 hours for a historytest on any given day. Use the formula obtained in part(a) to verify that there are 13 ways in which the studentcan study at most 4 hours for the test on two consecutivedays.

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