Standard automobile license plates in a country display 2 numbers, followed by 3letters, followed by 2 numbers. How many different standard plates are possible inthis system? (Assume repetition of letters and numbers is allowed.)Your answer is :Page Turner loves discrete mathematics. She has 6 "graph theory" books, 7 booksabout combinatorics, and 8 "set theory" books. How many ways can she place herdiscrete mathematics books on the same shelf in a row if:a) there are no restrictions.b) graph theory books are next to each other but the others could be anywhere onthe shelf.c) books are organized by their topic (same kinds are next to each other).

1) We know, Total number of digits in the number system = 10 ( 0,1,2,3,4,5,6,7,8,9) Total number…

Answered: Standard automobile license plates in a…

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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In the local boating pond there are 10 plain wooden boats, each with a different number. The owner decides that some of these boats will be painted: one in blue, one in green, one in red, and one in orange, and the remaining ones left unpainted. How many ways are there to paint the boats? The number of ways is
That is a lot of passwords! How many passwords would the website have if users were allowed to reuse the letters and numbers? (Enter the number of successful outcomes in each of the blanks below. Let the first six spaces represent letters and the last two spaces represent numbers) Answer • Answer • Answer • Answer • Answer • Answer • Answer • Answer = 30,891,577,600 That is almost Answer billion passwords!
One pro basketball player was known for being a good shooter. In games during 1980-1982, when he missed his first free throw, 47 out of 54 times he made the second one, and when he made his first free throw, 248 out of 285 times he made the second one. Complete parts (a) through (c). a. Form a contingency table that cross tabulates the outcome of the first free throw (made or missed) in the rows and the outcome of the second free throw (made or missed) in the columns. 2nd free throw made 2nd free throw missed Total 1st free throw made 1st free throw missed Total b. For a given pair of free throws, estimate the probability that the player made the first free throw. (Hint: Use counts in the row margin.) The probability is (Round to the nearest hundredth as needed.) For a given pair of free throws, estimate the probability that the player made the second free throw. (Hint: Use counts in the column margin.) The probability is. (Round to the nearest hundredth as needed.) c. Estimate the…
All answers are incorrect. Please answer all parts. Thank you!
A boy owns 10 pairs of pants, 5 shirts, 7 ties, and 8 jackets.(a) How many outfits can he wear to school if he must wear one of each item? (b) How many outfits can he wear to school if he must wear pants, shirt and a jacket, but the tie is optional? Submit QuestionQuestion 1
In set theory, what is the duality principle, and how does it apply to operations like union and intersection?
Consider a popular ramen stall. Before the shop opens, there are 20people waiting in front of the restaurant. Given that the shop only serves 10 bowls per day. If the maximum number ofeach menu the customers can order is 7 which means if the first 7 people orderShoyu Ramen, the rest must order Seafood Ramen. How many combinationof ramen orders(how each customer order and who got kicked out) are there?Ex: People can still order 5 Shoyu and 5 Seafood if they wish. But, no, the10 people who gets in can’t order 8 Shoyu and 2 Seafood.
Mrs. Smith has 6 activity tables she wants to line up side by side in her classroom. (a) In how many ways can she arrange all 6 tables? Show your work.(b) If she only wants to have 4 of the tables set up, in how many ways can she choose the tables shewishes to have set up? Show your work. Answer:

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