Question

An office building contains 31 floors and has 37 offices on each floor. Ch 06 Sec 1 Ex 02 (b) - Counting Principles How many offices are in the building?

A. 31
B. 37
C. 1,147
D. 1,207

Answer 1

C. 1,147. If you use a calculator or the standard algorithm, that is what you get

Answer 2

To find the total number of offices in the building, multiply the number of floors (31) by the number of offices per floor (37), which equals 1,147 offices in total.

Step-by-step explanation:

The number of offices in an office building with 31 floors and 37 offices on each floor can be calculated using the counting principle. This principle states that if one event can occur in 'm' ways and another independent event can occur in 'n' ways, the total number of ways the two events can occur is 'm times n'. Therefore:

Number of offices = Number of floors × Number of offices per floor

Number of offices = 31 × 37

Number of offices = 1,147

So, the correct answer is C. 1,147.