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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**More:**

**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)

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