Question

If there are m ways to perform task one and n ways to perform task two and the tasks are independent, then...

A) There are m+n ways to perform both tasks.
B) There are m×n ways to perform both tasks.
C) There are m−n ways to perform both tasks.
D) There are mn ways to perform both tasks.

Answer 1

The principle of counting states that if two tasks are independent with m and n ways to be performed respectively, there is a total of m times n ways to perform both tasks, hence answer B) is correct.

Step-by-step explanation:

If there are m ways to perform task one and n ways to perform task two, and the tasks are independent, we use the fundamental principle of counting to determine the number of ways to perform both tasks.

This principle states that if there are m ways to do one thing and n ways to do another, the number of ways to perform both actions is m × n. Therefore, the answer is B) There are m×n ways to perform both tasks.