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 = 21i Regular MA license plates have 3 digits followed by 3 (uppercase) letters, e.g. '924 VXA' or 4digits followed by 2 (uppercase) letters, e.g. '2012 CS'. How many different license plates arepossible?ii Henry owns 3 hiking shoes and 5 running shoes for his left foot. He owns 12 running shoes forhis right foot. How many different pairs of shoes, one left and one right, can he form?

i. Let A denote the set of all possibilities of 3 digit numbers. Let B denote the set of all…

Answered: Regular MA license plates have 3 digits…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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)

¹in 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?

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