Randall is scheduling his classes for next term. He has a choice of 3 different science classes, 4 different math classes, and 5 different humanities classes. How many different class schedules can Randall create if he must take 1 science class, 1 math class, and 1 humanities class? F. 14 G. 23 H. 30 J. 45 K. 60 AnswerThe correct answer is K.
To answer this question, you need to multiply the number of choices of science, math, and humanities classes together to determine the total number of combinations. The question states that there are 3 science class choices, 4 math class choices, and 5 humanities class choices: If you have 3 choices of science classes, 4 choices of math classes, and 5 choices of humanities classes, then you have (3)(4)(5) = 60 total class options. For every science class choice, you have 4 math class choices. Given 4 math class choices, you have (3)(4) = 12 science and math class choices. For every science and math class combination, you have 5 humanities class choices. Given 12 math and science class choices, you have (12)(5) = 60 total class options. 3 x 4 x 5 = 60
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