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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 13 Page 704

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

20 160

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=8 and r=6. Let's substitute these values into the formula.

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

n= 8, r= 6

_8 P_6 = 8!/( 8- 6)!

Subtract term

_8 P_6 = 8!/2!

Write as a product

_8 P_6 = 8* 7* 6* 5* 4* 3* 2!/2!

a/b=.a /2!./.b /2!.

_8 P_6 = 8* 7* 6* 5* 4* 3/1

a/1=a

_8 P_6 = 8* 7* 6* 5* 4* 3

Multiply

_8 P_6 = 20 160

Subchapter links

Communicate Your Answer p.699

Monitoring Progress p.700-703

Exercises p.704-706