McGraw Hill Glencoe Algebra 2, 2012
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McGraw Hill Glencoe Algebra 2, 2012 View details
4. Counting Techniques
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Exercise 11 Page P12

Is the order important?

Permutations or combinations? Permutations
Answer: 720

Practice makes perfect

We want to find how many ways there are to take six different classes. Note that, in this case, the order is important. Therefore, each possible arrangement is a permutation. To calculate the answer, we will use the formula for permutations of n objects taken r at a time. _n P_r = n!/(n-r)! We have six classes and are taking six at a time. This means that both n and r are 6. Let's substitute 6 for n and 6 for r in the above formula.

_n P_r = n!/(n-r)!
_6 P_6 = 6!/( 6- 6)!
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Simplify
_6 P_6 = 6!/0!

Write as a product

_6 P_6 = 6* 5* 4* 3* 2* 1/0!
_6 P_6 = 720/0!

0!=1

_6 P_6 = 720/1
_6 P_6 = 720

There are 720 permutations.