Reference no: EM131028124
1. How many different 5-digit sequences can be formed using the digits 0,1,....8 if repetition of digits is allowed?
Use the multiplication principle to solve the problem
2. A shirt company has 4 designs each of which can be made with short or long sleeves. There are 7 color patterns available. How many different types of shirts are available from this company?
3. How many different 4-letter radio station call letters can be made if repeats are allowed and the first letter MUST be K?
4. How many 4-digit numbers can be formed using the digits 0,1,2,3,4,5,6 if repetition of digits is NOT allowed?
Solve the problem
5. A musician plans to perform 6 selections. In how many ways can she arrange the musical selections?
6. There are 10 members on a board of directors. If they must elect a chairperson, a secretary, and a treasurer, how many different slates of candidates are possible?
7. In how many ways can 5 letters be chose from the set {A,B,C,D,E,F} if order IS important and no repeats are allowed?
8. There are 10 members on a board of directors. If they must form a subcommittee of 4 members, how many different subcommittees are possible?
9. In a certain lottery, 4 numbers between 1 and 11 inclusive are drawn. These are the winning numbers. How many different selections are possible? Assume that the order in which thenumbers are drawn is not important.
10. If the police have 8 suspects, how many different ways can they select 5 for a lineup?
11. Three student representatives are to be chosen from a group of five students: Andrew, Brenda, Chad, Dorothy, and Eric. In how many different ways can the representatives be chosen if two must be male and 1 must be female?
12. A bag contains 5 cherry, 3 orange, 2 lemon candies. You reach in and take 3 pieces of candy at random. Find the probability of the following:
All cherry
All lemon
One of each flavor
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Determine the number of different two sided marked dominoes
: A two-sided marked domino is a piece consisting of two squares joined along an edge where each square on both sides of the piece is marked with 0,1,2,3,4,5 or 6 dots.
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Summary and overview of company financial condition
: Use the extended DuPont equation to provide a summary and overview of company's financial condition as projected for 2014. What are the firm's major strengths and weaknesses?
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What output impedance is needed for the amplifier
: Suppose we have a voltage source v(t) = Vdc + Vm cos( ωt) connected to the input terminals of an amplifier. The load is a nonlinear device such as an LED. What output impedance is needed for the amplifier if we need the current through the load to ..
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Determine output voltage as function of time and power gain
: An amplifier with Ri = 2 kΩ, Ro = 500Ω, and Rmoc = -107 is operated with a 1-kΩ, load. A source having a Thévenin resistance of 1kΩ and an open-circuit voltage of 2 cos(200 πt) mV is connected to the input terminals. Determine the output voltage a..
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How many different slates of candidates are possible
: Three student representatives are to be chosen from a group of five students: Andrew, Brenda, Chad, Dorothy, and Eric. In how many different ways can the representatives be chosen if two must be male and 1 must be female?
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Determine the open-circuit voltage gain
: An amplifier has an input resistance of 1 k Ω, an output resistance of 200Ω, and a short-circuit trans-conductance gain of 0.5 S. Determine the open-circuit voltage gain, the short-circuit current gain, and the open-circuit trans-resistance gain.
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Value of the stock at the end of year
: If your required return on Crane Service stock is 14 %, what is the most you would be willing to pay for the stock today if you plan to sell the stock in two years?
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How many items should be counted per day
: A firm has 1,000 "A" items (which it counts every week, i.e., 5 days), 4,000 "B" items (counted every 40 days), and 8,000 "C" items (counted every 100 days). How many items should be counted per day?
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Write a paper on the impact of engineering solutions
: Write a paper on the impact of engineering solutions on a contemporary engineering issue which is energy availability
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