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Q. How many permutations can you make of the word STATISTICS?
Solution: There are 10 letters in the word STATISTICS, i.e. n=10. Three of them are S's, so n1=3, three are T's, n2=3 and two are I's, n3=2. So the number of distinct arrangements is
As you can see from this example, it is often impossible (without the help of a computer) to list all of the possible distinct permutations, but it is much easier to find the number of permutations.
Find out the volume of the solid obtained by rotating the region bounded by y = (x -1) ( x - 3) 2 and the x-axis about the y-axis. Solution Let's first graph the bounded r
a) A palindrome is a word that reads the similar whether read from right to left or from the left to right, the word ROTOR, for example. Let be the number of words of length n,
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Special Forms There are a number of nice special forms of some polynomials which can make factoring easier for us on occasion. Following are the special forms. a 2 + 2ab +
A spring has a natural length of 20 Centimeter. A 40 N force is needed to stretch and hold the spring to a length of 30 Centimeter. How much work is completed in stretching the spr
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Linear Approximations In this section we will look at an application not of derivatives but of the tangent line to a function. Certainly, to get the tangent line we do have to
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