Problem 74 - Algebra and Trigonometry

Question

Write an original problem that can be solved using the Fundamental Counting Principle. Then solve the problem.

Step-by-Step Solution

Answer

There are 15 ways to choose a book of Maths first and then a book of Physics.

Step 1: Formulate the Problem

Suppose there are 5 books of Maths and 3 books of Physics. In how many ways can a book of Maths be chosen first and then a book of Physics?

Step 2: Apply the Fundamental Counting Principle

The total number of outcomes can be found by multiplying the number of ways each action can be performed. In this case, we have \(5\) ways of choosing a maths book and \(3\) ways of choosing a physics book. Hence, the total number of ways both actions can be performed is \(5 \times 3\).

Step 3: Solve the Problem

Now, just perform the multiplication: \(5 \times 3 = 15\). The problem is solved.