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In how many ways may we label the elements of a k element set with n distinct labels (numbered 1 through n) so that label i is used ji times? ( If we think of the labels as y1, y2, . . . , yn, then we can rephrase this question as follows. How many functions are there from a k-element set K to a set N = {y1, y2, . . . yn} so that each yi is the image of ji elements of K?)
Hiro is in the spirit club. There are 29 students in the club. Three of them will be picked at random to go on a retreat. What is the probability he will not be selected? Put your answer as a fraction.
Find the function and cost of a pizza with 5 toppings.
each social security number is a sequence of nine digits. what is the proablity of randomly generating nine digits and getting your social security number?
The perimeter of a basketball court is 114 meters and the length is 6 meters longer than twice the width. What are the length and width?
The outside of a picture frame measures 19in by 10in. 56in^2 of the picture shows. find the thickness.
Protons are accelerated from rest through a potential difference of 20,000 volts. Find the final velocity of protons.
A father and his son can clean the house together in 4 hours. When the son works alone, it takes him an hour longer to clean than it takes his dad alone. Find how long it takes the son to clean alone.
An orchard contains 62 peach trees with each tree yielding an average of 50 peaches. For each 1 additional trees planted, the average yield per tree decreases by 9 peaches. How many trees should be planted to maximize the total yield of the orchar..
If you replace the equal sign of an equation with an inequality sign, is there ever a time when the same value will be a solution to both the equation and the inequality? Write an inequality and provide a value that may or may not be a solution to..
Suppose that Al, Betty and Karl are dividing a half- cheese and half- pepperoni pizza. They use the lone shoose method. Betty is the chhoser and Karl and Al are thedividers.
Use the integrating capabilities of a graphing utility to approximate the surface area of that portion of the surface z=e^x that lies over the region in the xy-plane bounded by the graphs of y=0, y=x and x=1.
Find the height of the flag pole from the word problem and determine the total number of student-tickets sold from given word problem
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