Solve the following problems1. From the ten digits 0,12,3,4,5,6,7,8,9, how many four-digit numbers can be formed ifa. repetitions are allowed?b. repetitions are not allowedc. the last digit is zero and no repetition of digits?d. the tens digit should be odd?2. Using the tree diagram, how many possible outcomes can result if you toss 4 coinssimultaneously?3. How many permutations are possible with the letters of the word BETWEENNESS?4. In how many ways can 5 different trees be planted in a circle?5. How many different ways can 3 red, 4 yellow and 2 blue bulbs be arranged in a string ofChristmas tree lights with 9 sockets?6. Nine people are going on a trip in 3 cars that will hold 2, 4, and 5 passengers, respectively.How many ways are possible to transport the 9 people using all cars?7.a) How many ways can 6 people be lined up to get a bus?b) If 3 persons insist on following each other, how many ways are possible?

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Solve the following problems 1. From the ten digits 0,12,3,4,5,6,7,8,9, how many four-digit numbers can be formed if a. repetitions are allowed? b. repetitions are not allowed c. the last digit is zero and no repetition of digits?

Solve the following problems 1. From the ten digits 0,12,3,4,5,6,7,8,9, how many four-digit numbers can be formed if a. repetitions are allowed? b. repetitions are not allowed c. the last digit is zero and no repetition of digits?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Solve the following problems
1. From the ten digits 0,12,3,4,5,6,7,8,9, how many four-digit numbers can be formed if
a. repetitions are allowed?
b. repetitions are not allowed
c. the last digit is zero and no repetition of digits?
d. the tens digit should be odd?
2. Using the tree diagram, how many possible outcomes can result if you toss 4 coins
simultaneously?
3. How many permutations are possible with the letters of the word BETWEENNESS?
4. In how many ways can 5 different trees be planted in a circle?
5. How many different ways can 3 red, 4 yellow and 2 blue bulbs be arranged in a string of
Christmas tree lights with 9 sockets?
6. Nine people are going on a trip in 3 cars that will hold 2, 4, and 5 passengers, respectively.
How many ways are possible to transport the 9 people using all cars?
7.
a) How many ways can 6 people be lined up to get a bus?
b) If 3 persons insist on following each other, how many ways are possible?

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