A man has 3 different suits, 4 different shirts and 5 different pairs of shoes. In how many different ways can this man wear a suit a shirt and a pair of shoes?

60

Step-by-step explanation:

We want to find the number of ways to wear a suit, shirt, and pair of shoes.

Therefore, we can use the fundamental counting principal, which is: If there is x ways to do one thing, y ways to do another and z ways for another, then there are x * y * z ways to do all things.

Therefore, we must multiply the suits, shirts and shoes.

suits * shirts * shoes

The man has 3 different suits, 4 different shirts and 5 different pairs of shoes.

3 * 4 * 5

12 * 5

60

There are 60 different ways to wear a suit, shirt and pair of shoes.

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thus, the first answer choice, y = sec x, is the correct one