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Chapter 12: Q18. (page 635)

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?

Short Answer

Expert verified

There are48different possible combinations for making a driver.

Step by step solution

01

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.

02

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 4×3×2×2=48different possible combinations.

03

Step 3. Conclusion.

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

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