Question

determine whether each statement is true or false. if the statement is false, make the necessary change(s) to produce a true statement. if one item is chosen from m items, a second item is chosen from n items, and a third item is chosen from p items, the total number of three - item choices is m + n + p. choose the correct answer below. a. this statement is true. b. this statement is false. to make this statement true, change \m + n + p\ to \m·n·p\. c. this statement is false. to make this statement true, change \m + n + p\ to \m + n - p\. d. this statement is false. to make this statement true, change \m + n + p\ to \m - n - p\.

Explanation:

Step1: Apply multiplication principle

When choosing items from separate sets sequentially, total choices = product of each set's size. So total = $M \cdot N \cdot P$.

Step2: Evaluate the statement

The original statement uses addition ($M+N+P$) which is wrong.

Answer:

B. This statement is false. To make this statement true, change "M + N + P" to "M • N • P".