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Big Ideas Math Geometry, 2014

BI

Big Ideas Math Geometry, 2014 View details

Chapter Review

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Exercise 10 Page 716

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

5040

Practice makes perfect

To evaluate the given expression, we will use the formula for permutation _n P_r. _n P_r = n!/(n-r)! We are given that n=7 and r=6. Let's substitute these values into the formula.

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

n= 7, r= 6

_7 P_6 = 7!/( 7- 6)!

Subtract term

_7 P_6 = 7!/1!

Write as a product

_7 P_6 = 7* 6* 5* 4* 3* 2* 1!/1!

a/b=.a /(1!)./.b /(1!).

_7 P_6 = 7* 6* 5* 4* 3* 2/1

a/1=a

_7 P_6 = 7* 6* 5* 4* 3* 2

Multiply

_7 P_6 = 5040

Subchapter links

Exercises p.714-716