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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.
Telescoping Series It's now time to look at the telescoping series. In this section we are going to look at a series that is termed a telescoping series. The name in this c
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Find the solution to the following system of equations using substitution:
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1. Draw a pair of tangents to a circle of radius 2cm that are inclined to each other at an angle of 900. 2. Construct a tangent to a circle of radius 2cm from a point on the c
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cos(x)y''+sin(x)y=2cos^3(x)sin(x)-1
For complex number z, the minimum value of |z| + |z - cosa - i sina|+|z - 2(cosa + i sina )| is..? Solution) |z| + |z-(e^ia)| + |z-2(e^ia)| we see.....oigin , e^ia , 2e^ia , f
A Class 4 teacher was going to teach her class fractions. At the beginning of the term she asked the children, "If you had three chocolates, and wanted to divide them equally among
the value of y for which x=-1.5
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