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Pearson Algebra 2 Common Core, 2011

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Pearson Algebra 2 Common Core, 2011 View details

1. Permutations and Combinations

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Exercise 1 Page 678

Recall the formula for a permutation, _n P_r = n!/(n-r)!.

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=6 and r=3. Let's substitute these values into the formula.

_n P_r = n!/(n-r)!

n= 6, r= 3

_6 P_3 = 6!/( 6- 3)!

Subtract term

_6 P_3 = 6!/3!

Write as a product

_6 P_3 = 6* 5* 4* 3!/3!

a/b=.a /3!./.b /3!.

_6 P_3 = 6* 5* 4/1

a/1=a

_6 P_3 = 6* 5* 4

Multiply

_6 P_3 = 120

Subchapter links

Lesson Check p.678

Practice and Problem-Solving Exercises p.678-680

Standardized Test Prep p.680

Mixed Review p.680