1. Assume you have ten (10) very expensive, leather bound books (all different authors) and you want to display these books on your fireplace mantle, but you are unsure how you want to arrange the books (by author, by height, year published, value . . . ). How many different ways can you arrange the books?

2. Assume you receive an advertisement in the mail for "mail order CDs". The company is offering you 4 CDs for one penny, followed by other purchases for the next year. There are 69 CDs to pick from. You determine from the 69 which 4 you want to purchase. How many different combinations are possible in this problem?

3. Finally, discuss the difference between these two problems (including the formulas [if any] used and differences in the applicable formulas).

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1. The first book can be arranged in any one of the 10 places available. Having fixed the first book, the second book can be placed in any of the remaining 9 ...

Solution Summary

116 words to calculate two types of combination problems and explain key differences in the methods between them.

A typical "combination" lock is opened with the correct sequence of three numbers between 0 and 49 inclusive. (A number can be used more than once.) What is the probability of guessing those three numbers and opening the lock with the first try?

1. How many ways are there to choose 5 items (with repetition) from among 7 varieties? Explain, as precisely as possible, why we should not factor out by the number of arrangements of the 5 choices. ( Don't prove that the answer is wrong-we already did that- explain why it's wrong, i.e., why we shouldn't factor out by r!) It mig

If your age is an even number, circle: j = 4
If your age is an odd number, circle: j = 3
In problem part A below, j is your number of flights.
(my age is 37)
Binomial Probability Distribution: P(x) = nCx Ï?**x (1 â?" Ï?)**(n-x) [6-3]
Where:
· C denotes a combination
· n is the number of trials

Acme Plumbing Supply has just received a shipment of 5,000 valves for chemical plants, where regular steel valves would corrode. However, it is known that in the shipment 50 of the valves are regular steel which were inadvertently included.
Unfortunately there was no was to distinguish between the two types of valves. They

7. Let A(4,3) and B(7,11) be two points in a plane.
If all paths are equally likely, what would be the probability of choosing a path that begins with an up move and ends with an up move? (Each path is made up of moves that either go up one unit or over one unit to the right.)
8. In a state lottery game, anyone who picks 6 n

An angular momentum system is prepared in the state
|Psi> = 1/Sqrt(10) ( |1 1> - 2|1 0> + 2i|2 2> + i |2 0>)
What are the possible results of a measurement of the squared angular momentum L_hat^2 and with what probabilities would the occur?
Can you please show me a step by step solution for how to solve these type of qu

A company requires its secretarial employees to demonstrate his/her ability to type more than 45 words per minute in a typing test. The incompetent employees will be terminated. Lucy's typing rate is uniformly distributed between 30 and 50 words per minute.
1. What is the probability that she can type 45 to 50 words per mi

1. What is the value of the binomial coefficient: combination 100 and zero?
2. If 60 percent of US households live with one or more pets and 4 of these US households are selected at random without replacement, what is the probability that the number of households has one or more pets, at most three?
3. A quantitative data set

A.)AN UNBIASED COIN IS FLIPPED 5 TIMES. WHAT IS THE PROBABILITY OF GETTING EXACTLY 1 HEAD ON THE 5 TRIALS?
B.)WHAT IS THE PROBABILITY OF GETTING AT LEAST ONE HEAD IN THE 5 TRIALS?