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Big Ideas Math Geometry, 2014

BI

Big Ideas Math Geometry, 2014 View details

Chapter Review

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Exercise 13 Page 716

Recall the formula for a combination, _n C_r = n!/(n-r)!* r!.

70

Practice makes perfect

To evaluate the given expression, we will use the formula for combination _n C_r. _n C_r = n!/(n-r)!* r! We are given that n=8 and r=4. Let's substitute these values into the formula.

_n C_r = n!/(n-r)!* r!

n= 8, r= 4

_8 C_4 = 8!/( 8- 4)!* 4!

Subtract term

_8 C_4 = 8!/4!* 4!

Write as a product

_8 C_4 = 8* 7* 6* 5* 4!/4!* 4!

a/b=.a /(4!)./.b /(4!).

_8 C_4 = 8* 7* 6* 5/4!

Write as a product

_8 C_4 = 8* 7* 6* 5/4* 3* 2* 1

Multiply

_8 C_4 = 1 680/24

Calculate quotient

_8 C_4 = 70

Subchapter links

Exercises p.714-716