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 10 Page P12

Recall the formula _n P_r = n!(n-r)!.

15 120

Practice makes perfect

To evaluate the given permutation, we will use the corresponding formula. _n P_r = n!/(n-r)! We are given that n= 9 and r= 5. Let's substitute these values into the formula.

_n P_r = n!/(n-r)!
_9 P_5 = 9!/( 9- 5)!
_9 P_5 = 9!/4!

Write as a product

_9 P_5 = 9* 8* 7* 6* 5* 4!/4!
_9 P_5 = 9* 8* 7* 6* 5
_9 P_5 = 15 120