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How many ways can 4 DVDs be arranged on a shelf?
Solution:
There are 4 ways to choose the first DVD, 3 ways to choose the second, 2 ways to choose the third and 1 way to choose the last. In other words, there are 4 x 3 x 2 x 1 = 4! =24 ways to arrange the DVDs.
Example: How many ways can John, Katherine, Luke, Melanie and Nick sit at a table?
Solution: The number of ways to arrange these five people is 5!
5! = 5 x 4 x 3 x 2 x 1 = 120. There are 120 permutations.
Example: How many ways can n objects be arranged?
Solution: n objects can be arranged in n! ways.
Center of Mass - Applications of integrals In this part we are going to find out the center of mass or centroid of a thin plate along with uniform density ρ. The center of mass
INTRODUCTION : Do you remember your school-going days, particularly your mathematics classes? What was it about those classes that made you like, or dislike, mathematics? In this
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Ipswich has two ambulances. Ambulance 1 is based at the local college and ambulance 2 is based downtown. If a request for an ambulance comes from the local college, the college-bas
Using the formulas and properties from above find out the value of the subsequent summation. c The first thing that we require to do here is square out the stuff being summe
what is the difference between North America''s part of the total population and Africa''s part
A={2,3,5,7,11} B={1,3,5,7,9} C={10,20,30,40,......100} D={8,16,24,32,40} E={W,O,R,K} F={Red,Blue,Green} G={March,May} H={Jose,John,Joshua,Javier} I={3,6,9,12,15}
To begin with we have counting numbers. These numbers are also known as natural numbers and are denoted by a symbol 'N'. These numbers are obtai
Describe Order of Operations with example? The order of operations is a set of rules that describe the order in which math operations are done. Try doing this math problem:
Following is some more common functions that are "nice enough". Polynomials are nice enough for all x's. If f ( x) = p ( x ) /q (x ) then f(x) will be nice enough provid
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