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Big Ideas Math Geometry, 2014

BI

Big Ideas Math Geometry, 2014 View details

Chapter Test

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Exercise 6 Page 717

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

792

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=12 and r=7. Let's substitute these values into the formula.

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

n= 12, r= 7

_(12) C_7 = 12!/( 12- 7)! 7!

Subtract term

_(12) C_7 = 12!/5! 7!

Write as a product

_(12) C_7 = 12* 11* 10* 9* 8* 7!/5! 7!

a/b=.a /7!./.b /7!.

_(12) C_7 = 12* 11* 10* 9* 8/5!

Write as a product

_(12) C_7 = 12* 11* 10* 9* 8/5* 4* 3* 2* 1

Multiply

_(12) C_7 = 95 040/120

a/b=.a /120./.b /120.

_(12) C_7 = 792/1

a/1=a

_(12) C_7 = 792

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Exercises p.717