A doctor wants to subscribe to some magazines so that her patients have something to read in the waiting room. she wants to subscribe to one of 6 news magazines and one of 3 fashion magazines. she also wants to subscribe to one of 9 business magazines. how many different combinations of magazines can the doctor order?

Answer 1

To find the total number of different combinations of magazines that the doctor can order, we will calculate the product of the number of choices available in each category of magazines.

1. News magazines: The doctor has 6 options.
2. Fashion magazines: The doctor has 3 options.
3. Business magazines: The doctor has 9 options.

Now, we multiply the number of choices for each category:

\[ \text{Total combinations} = (\text{Choices for News}) \times (\text{Choices for Fashion}) \times (\text{Choices for Business}) \]

Substituting the number of choices:

\[ \text{Total combinations} = 6 \times 3 \times 9 \]

Calculating this step-by-step:

\[ 6 \times 3 = 18 \]

\[ 18 \times 9 = 162 \]

Therefore, the total number of different combinations of magazines that the doctor can order is

\[ \boxed{162} \]