Anja is choosing her extracurricular activities for the year. She can choose one sport to play and one instrument to learn using the list below: Sports: softball, basketball, tennis, or swimming
Instruments: guitar, piano, or clarinet. How many combinations are possible?

The number of possible combinations of sports and instrument that Anja can select is 12.

Step-by-step explanation:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

It is said that Anja can choose one sport to play and one instrument to learn using the list below:

Sports: softball, basketball, tennis, or swimming

Instruments: guitar, piano, or clarinet.

There 4 options for sports and 3 for an instrument.

Compute the number of ways to select one sport to play as follows:

Compute the number of ways to select one instrument to learn as follows:

Compute the number of possible combinations of sports and instrument that Anja can select as follows:

Total number of possible combinations = n (S) × n (I)

Thus, the number of possible combinations of sports and instrument that Anja can select is 12.

80 the answer is 80

step-by-step explanation: