A computer randomly selects a number from 1 through 50 . Two selections are made by the computer to create an ordered pair of numbers. How many elements are in the sample space for this experiment?
A) 2,500
B) 2,450
C) 2,000
D) 100
E) 50

Question

Quizplus · Accepted Answer

Since the computer can select any number from 1 through 50 for each of the two selections, and the order matters (making it an ordered pair), there are 50 choices for the first number and 50 choices for the second number. Multiplying these together gives 50 * 50 = 2,500 possible ordered pairs.

A Computer Randomly Selects a Number from 1 Through 50