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##### [solution] » Problem 31.1 a. How many ways can we get a sum of 4 or a sum of 8

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Problem 31.1 a. How many ways can we get a sum of 4 or a sum of 8
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Problem 31.1

a. How many ways can we get a sum of 4 or a sum of 8 when two distinguishable dice are rolled?

b. How many ways can we get a sum of 8 when two undistinguishable diceare rolled?

Problem 31.2

a. How many 4-digit numbers can be formed using the digits, 1, 2, · · · , 9(with repetitions)? How many can be formed if no digit can be repeated?

b. How many different license plates are there that involve 1, 2, or 3 lettersfollowed by 4 digits (with repetitions)?

Problem 31.3

a. In how many ways can 4 cards be drawn, with replacement, from a deck of 52 cards?

b. In how many ways can 4 cards be drawn, without replacement, from a deck of 52 cards?

Problem 31.4

In how many ways can 7 women and 3 men be arranged in a row if the thre emen must always stand next to each other.

Problem 31.5

A menu in a Chinese restaurant allows you to order exactly two of eight main dishes as part of the dinner special. How many different combinations of main dishes could you order?

Problem 31.6 & 31.7 (attachment)

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This question was answered on: Feb 21, 2020

Solution~00066329334.zip (18.37 KB)