8. Twenty one boxes contain in total 200 cards. Show that at least two boxes must containthe same number of cards. You must justify your answer.

Answered: Image /qna-images/answer/2b8c5f69-0a5b-471e-862d-8e790dd81715.jpg

Answered: 8. Twenty one boxes contain in total…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

There are 100 students waiting in line to get student IDs. Of these, 50 are from Indiana, 45 are freshmen, and 20 are neither freshmen nor from Indiana. How many of the students are freshmen who are not from Indiana?
A company sells regular hamburgers as well as a larger burger. Either type can include cheese, relish, lettuce, tomato, mustard, or ketchup. a. How many different hamburgers can be ordered with exactly 5 extras? b. How many different regular hamburgers can be made that use any 5 of the extras? c. How many different regular hamburgers can be ordered with at least 3 extras?
of 900 people interviewed 254 said they like only hamburgers, 461 said they only like hot dogs, and 140 people said they liked both hamburgers and hotdogs. How many people interviewed didn’t like either?
Of the 58 students in a mathematics class, 22 are taking French, 24 are taking German, and 7 are taking both French and German. How many students in the mathematics class are taking neither French nor German? nothing students
i. A child places 0 or more pennies in her piggy bank each day, for 15 consecutive days. She then cracks open the piggy bank and finds that she has accumulated one dollar. (1 dollar = 100 pennies.) Explain how we know that on at least two days she placed the same number of pennies in her piggy bank. ii. Five friends are at a party. Show that at least two people shook the same number of hands. iii. An equilateral triangle measures 3 centimeters on each side contains 100 dots at random locations. Show that no matter how the dots are distributed, it is always possible to cover 12 or more dots with an equilateral triangle measuring 1 centimeter on each side. We need to a proof for each of these
Find the Combination 11. From a standard deck of 52 cards, how many six-hand cards possible if there are at least three aces and three other cards? 2. Thirteen students apply for three scholarship slots. In how many ways can the scholarship be awarded?
Consider a popular ramen stall. Before the shop opens, there are 20people waiting in front of the restaurant The ramen shop only serve 10 bowls a day. The shop owner pick only 10 from20 people and kick the rest out. How many combinations of people who getsto eat are there? (Order doesn’t matter)
Your partner asks you to go to the store to buy 4 bottles of 1.5L soda. The store has 11 kinds of soft drinks (and a large stock of> 4 bottles of each kind). Howmany different possible purchases can you make?
Two number cubes are tossed 1. P(sum is 5 or sum is 8) 2. P(sum is odd or sum is less than 4)
How many dierent 6 card hands can be dealt from a deck of 52 cards?
An ice cream store has 25 flavors to select from. A customer walks in and orders a three-scoop ice cream cone. How many ways can the customer make this selection if... a. the flavors can be the same and the order is important? b. the flavors are different and the order is not important?

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS

8. Twenty one boxes contain in total 200 cards. Show that at least two boxes must contain the same number of cards. You must justify your answer.