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Big Ideas Math Geometry, 2014

BI

Big Ideas Math Geometry, 2014 View details

Chapter Review

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Exercise 12 Page 716

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

15

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=6 and r=2. Let's substitute these values into the formula.

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

n= 6, r= 2

_6 C_2 = 6!/( 6- 2)!* 2!

Subtract term

_6 C_2 = 6!/4!* 2!

Write as a product

_6 C_2 = 6* 5* 4!/4!* 2!

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

_6 C_2 = 6* 5/2!

Write as a product

_6 C_2 = 6* 5/2* 1

Identity Property of Multiplication

_6 C_2 = 6* 5/2

Multiply

_6 C_2 = 30/2

Calculate quotient

_6 C_2 = 15

Subchapter links

Exercises p.714-716