Regular MA license plates have 3 digits followed by 3 (uppercase) letters, e.g. '924 VXA' or 4 digits followed by 2 (uppercase) letters, e.g. '2012 CS'. How many different license plates are possible? Henry owns 3 hiking shoes and 5 running shoes for his left foot. He owns 12 running shoes for his right foot. How many different pairs'|of shoes, one left and one right, can he form?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 87E
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Sum and Product Rules: Express your response via sets you dene before computing a value below. For example, you might begin your response with `A = set of some objects`, `B = set of some other objects` and then compute some expression for what you're seeking to count: (see image)

1 in the image means Henry requires only that he have one shoe for his right foot and another shoe for his left foot, they needn't match

|A × B| = |A| × |B| = 3 * 7 = 21
i Regular MA license plates have 3 digits followed by 3 (uppercase) letters, e.g. '924 VXA' or 4
digits followed by 2 (uppercase) letters, e.g. '2012 CS'. How many different license plates are
possible?
ii Henry owns 3 hiking shoes and 5 running shoes for his left foot. He owns 12 running shoes for
his right foot. How many different pairs of shoes, one left and one right, can he form?
Transcribed Image Text:|A × B| = |A| × |B| = 3 * 7 = 21 i Regular MA license plates have 3 digits followed by 3 (uppercase) letters, e.g. '924 VXA' or 4 digits followed by 2 (uppercase) letters, e.g. '2012 CS'. How many different license plates are possible? ii Henry owns 3 hiking shoes and 5 running shoes for his left foot. He owns 12 running shoes for his right foot. How many different pairs of shoes, one left and one right, can he form?
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