The composer Beethoven wrote 9 symphonies, 5 piano concertos (music for piano and orchestra), and 32 piano sonatas (music for solo plallu).(a) How many ways are there to play first a Beethoven symphony and then a Beethoven piano concerto?ways(b) The manager of a radio station decides that on each successive evening (7 days per week), a Beethoven symphony will be played followed by a Beethoven piano concerto followed by a Beethoven pianosonata. For how many years could this policy be continued before exactly the same program would have to be repeated? (Assume there are 365 days in a year. Round your answer up to the nearest wholenumber.)years

a. How many ways are there to play first Beethoven symphony and then a Beethoven Plano concerto…

Answered: The composer Beethoven wrote 9…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Last Super Bowl weekend, there were 109 pizzas ordered for the sophomore dorm. That weekend 32 customers ordered their pizza with just pepperoni, 40 ordered their pizza with just sausage, 18 ordered theirs with just onions, 13 ordered theirs with pepperoni and sausage, 10 ordered theirs with sausage and onions, 9 ordered theirs with pepperoni and onions, and 7 ordered theirs with all three items. (a) How many customers ordered their pizza with pepperoni or sausage (or both)? (b) How many customers ordered their pizza with sausage or onions (or both)? (c) How many customers ordered a pizza without pepperoni, sausage, or onions?
Fibonacci's Rabbits Leonardo Fibonacci da Pisa (c. 1170-1250), an outstanding European mathematician of the middle ages stated an interesting problem in his main work Liber Abaci (1202) where he wanted to know how many pairs of rabbits will be produced in a year, beginning with a single pair, if in every month each pair brings forth a new pair that becomes productive from the second month on and assuming no pairs die. Therefore, starting with F1 = 1 newly born pair in the first month, we can find the number Fk of pairs in the kth month. Using some knowledge of calculus, acquired when studying sequences, we can determine the number of pairs of rabbits in the kth month by setting up the following equation: Fk = (Number of pairs alive the preceding month) + (Number of newly born pairs for the kth month) Since the rabbits do not produce offsprings during the first month of their lives, we can see that the number of newly born pairs for the kth month is the number Fk - 2 of pairs alive…
You have one pile of 11 building blocks, each one a different color, and you also have another pile of 7 blocks, again each one a different color. How many ways are there to build a tower 4 blocks high from the first pile and another tower 3 blocks high from the second pile? Assume that the colors at each level of a tower matter. (A) 318 (B) C(11,4) C(7, 3) (C) P(11,4) P(7,3) (D) P(18,7) (E) 311 (F) C(18,7) (G) P(11,4)+ P(7,3) (H) C(11,4)+ C(7,3) O A OB OC O E O F OG H.
A student works in a bookstore where he is required to work at least four and at most five days a week, at least one of which has to be a weekend day (Saturday or Sunday). How many different weekly work schedules can this student have?
An instructor gives an exam with twenty questions. Students are allowed to choose any fifteen questions to answer. (a) How many different choices of fifteen questions are there? (b) Suppose nine questions require coding and eleven do not. (i) How many groups of fifteen questions contain seven that require coding and eight that do not? (ii) How many groups of fifteen questions contain at most eight that require coding? (c) Suppose the exam instruction specifies that at most one of questions 1 and 2 MAY BE included among the fifteen. How many different choices of fifteen questions are there? (d) Suppose the exam instruction specifies that either both questions 1 and 2 are to be included among the ten or neither is to be included. How many different choices of ten questions are there?
Peter must select 3 electives from a group of 8 courses. (a) In how many ways can Peter do this? (b) If all 8 of these courses are available each of the 4 hours from 8 A.M. to noon, from how many different 3-elective schedules (hours and what course at each hour) can Peter choose?
After a 30-member battalion fled, the general ordered the battalion to suffer decimation as punishment. In a decimation, one of out of every ten soldiers is killed. Assuming they are killed at the same time (so that it doesn't matter what order they are chosen), how many ways can the battalion be decimated?
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