Question

Carlos has homework to do in math, chemistry, and English. How many ways can he choose the order in which to do his homework?

Short answer

Carlos can choose the order in which to do his homework in6 ways.

Step-by-step solution

Step 1. Given Information.

Given, Carlos has homework to do in math, chemistry, and English. It is to be determined in how many ways can he choose the order in which to do his homework.

Step 2. Calculation.

There are 3 ways to choose the first among the three subjects to do homework.

And then only 2 subjects are left. There are 2 ways to choose the second homework from the two subjects.

And then there is only one subject left.

By the Fundamental Counting Principle, there are $3\times 2\times 1=6$ possible ways to do the homework.

Step 3. Conclusion.

Hence, by Fundamental Counting Principle, Carlos can choose the order of his homework in 6 ways.