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Big Ideas Math Geometry, 2014

BI

Big Ideas Math Geometry, 2014 View details

5. Permutations and Combinations

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Exercise 12 Page 704

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

720

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=5. Let's substitute these values into the formula.

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

n= 6, r= 5

_6 P_5 = 6!/( 6- 5)!

Subtract term

_6 P_5 = 6!/1!

Write as a product

_6 P_5 = 6* 5* 4* 3* 2 * 1!/1!

a/b=.a /1!./.b /1!.

_6 P_5 = 6* 5* 4* 3* 2/1

a/1=a

_6 P_5 = 6* 5* 4* 3* 2

Multiply

_6 P_5 = 720

Subchapter links

Communicate Your Answer p.699

Monitoring Progress p.700-703

Exercises p.704-706