4.In a class of 50 students, 20 are math majors, 35 are computer science majors, and 12 are majors in both mathand computer science.a.How many students are math majors or computer science majors?b. How many are math majors but not computer science majors?С.How many are neither computer science nor math majors?

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Answered: 4. In a class of 50 students, 20 are…

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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Q.2) a. State one difference and one similarity between permutation and combination. b. How many different five member committees could be formed from the 100 U.S senators? (Use combination formula) 1
12. A donut shop has 8 different types of donuts available. a) How many different ways are there to pick out a dozen donuts? b) How many different ways are there to pick out a dozen donuts if you want no more than 4 of any one type?
How many different 6-letter words can be made a. if the first letter must be E or W and no letter may be repeated? b. if repeats are allowed (but the first letter is E or W)? c. How many of the 6-letter words (starting with E or W) with no repeats end in H?
Using the digits 2, 3, 6, 8, and 9, how many 3-digit whole numbers can be formed if а. repetitions are not permitted? а. 14 b. How many ways can you form a 4 member committee from 8 persons? а. 70 A car race will give prizes for the first, second and third placer. In how many ways b. 60 С. 120 d. 625 b. 1680 с. 25 d. 125 С. can the prizes be won if there are 8 contestants? а. 336 ways b. 136 ways с. 300 ways d. 278 ways
7. There are 7 boys and 5 girls in a class. а. How many ways can a committee of 4 people be selected if there must be 2 boys and 2 girls on the committee? b. How many ways can this committee of 4 people be selected if there must be at least 2 girls on the committee?
6. From the digits 0, 1, 2, 3, 4, 5 and 6, how many three digits numbers can be performed if no digits may be repeated?
2
A class has 32 students. In how many different ways can four students form a group for an activity? (Assume the order of the students is not important.) C.. There are different ways that the four students can form a group for an activity. (Type a whole number.)
The question is on the image, thanks!
3.118 U.S. ZIP codes. The nine-digit ZIP code has become an integral part of the U.S. postal system. a. How many different ZIP codes are available for use by the postal service? (Assume that any nine-digit number can be used as a ZIP code.) b. The first three digits of a Chicago ZIP code are 606. If no other city in the United States has these first three digits as part of its ZIP, how many different ZIP codes can exist in Chicago?
1. (a) How many ways can a 3-person subcommittee be selected from a committee of 20 people (b) How many ways can a president, vice-president, treasurer, and secretary be chosen from a school club of 20 people?

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