McGraw Hill Glencoe Algebra 2, 2012
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McGraw Hill Glencoe Algebra 2, 2012 View details
4. Counting Techniques
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Exercise 8 Page P12

Recall the formula _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!
_(12) C_7 = 12!/( 12- 7)! 7!
_(12) C_7 = 12!/5! 7!

Write as a product

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

Write as a product

_(12) C_7 = 12* 11* 10* 9* 8/5* 4* 3* 2* 1
_(12) C_7 = 95040/120
_(12) C_7 = 792