Q18. - Algebra 2

Question

A golf club manufacturer makes drivers with 4 different shaft lengths, 3 different lofts, 2 different grips, and 2 different club head materials. How many different combinations are possible?

Step-by-Step Solution

Answer

There are 48 different possible combinations for making a driver.

Step 1. Given Information.

Given, a golf club manufacturer makes drivers with 4 different shaft lengths, 3 different lofts, 2 different grips, and 2 different club head materials. It is to be determined how many different combinations are possible.

Step 2. Calculation .

There are 4 ways to choose among the 4 different shaft lengths.

And there are 3 ways to choose among the 3 different lofts.

And then there are 2 ways to choose among the 2 different grips.

And then there are 2 ways to choose among the 2 different club head materials.

By the Fundamental Counting Principle, there are $4\times 3\times 2\times 2=48$ different possible combinations.

Step 3. Conclusion .

Hence, by Fundamental Counting Principle, there are 48 different possible combinations for making a driver.