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Question: 1. In a programming class of seven students, the instructor wants each student to modify the program from a previous assignment, but no student should work on his or her own program. In how many ways can the instructor assign programs to the students?
2. Prove that S(m, n), the number of ways to partition a set of m elements into n blocks, is equal to 1·n! times the number of onto functions from a set with m elements to a set with n elements.
The adults board first and randomly select seats. The children select seats in order with c1 selecting first, c2 selecting second
Integral from zero to infinity of cos(x^2) dx = integral from zero to infinity of sin(x^2) dx = 1/2 * (square root of pi/2).
a paint mixture contains 7 gallons of base for every gallon of color. In 208 gallons of paint, how many gallons of color are there?
a carpenter wants to bolts two long boards together for strength . the boards are 288 inches long. by mistake he tells
A plane is heading due south with an air speed of 125 mph. There is a constant wind blwoing from the west at 30 mph. Find the plane's ground speed and heading.
In your computer store you make $1012 per computer sold. Your costs are given by the equation C(x) = 4x^2+4x-80, where x is the number of computers sold. How many computers should you sell to maximize the profit?
A poster is to have an area of 160 in2 with 2 inch margins at the bottom and sides and a 3 inch margin at the top. What dimensions will give the largest printed area? (Give your answers correct to one decimal place.)
A circuit is to be laid out on a computer chip in a single layer. The design includes five terminals.
Temperature units use the Celsius scale and the Kelvin scale. Describe both scales and discuss the differences between the two and the conversion process. What would be the boiling point of water at 1 atmosphere? Explain how you arrived at the ans..
The list price of a refrigerator is $550. The retailer can buy the refrigerator at the list price minus 20%. Find the trade discount.
describe an induction process. how does induction process differ from a process of simple
The area of a certain rectangle can be represented by 6x2 + 19x + 10 If the length is 2x + 5 what is the width? (Divide the area by the length.)
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