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Pearson Algebra 2 Common Core, 2011

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Pearson Algebra 2 Common Core, 2011 View details

Mid-Chapter Quiz

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Exercise 5 Page 710

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

35

Practice makes perfect

To evaluate the given combination, we will use the corresponding formula. _n C_r = n!/(n-r)! r! We are given that n=7 and r=3. Let's substitute these values into the formula.

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

n= 7, r= 3

_7 C_3 = 7!/( 7- 3)! 3!

Subtract term

_7 C_3 = 7!/4! 3!

Write as a product

_7 C_3 = 7* 6* 5* 4!/4!* 3* 2* 1

a/b=.a /4!./.b /4!.

_7 C_3 = 7* 6* 5/3* 2* 1

Multiply

_7 C_3 = 210/6

a/b=.a /3./.b /3.

_7 C_3 = 70/2

Calculate quotient

_7 C_3 = 35