Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
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Exercise 19 Page 872

To evaluate the given expression, recall that for any positive number n its factorial is defined as n!=n(n-1)(n-2)...(3)(2)(1).

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Practice makes perfect
We want to evaluate the given expression. To do so, let's recall the definition of the factorial of a positive integer n. n!=n(n-1)(n-2)... (3)(2)(1) With the above definition in mind, we can simplify the given expression.
12!/9!3!

Write as a product

12(11)(10)(9)(8)(7)(6)(5)(4)(3)(2)(1)/(9(8)(7)(6)(5)(4)(3)(2)(1))(3(2)(1))
â–Ľ
Evaluate
12(11)(10)(9)(8)(7)(6)(5)(4)(3)(2)(1)/(9(8)(7)(6)(5)(4)(3)(2)(1))(3(2)(1))
12(11)(10)/3(2)(1)
12(11)(10)/6
â–Ľ
Simplify
2(11)(10)/1
2(11)(10)
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