Big Ideas Math Geometry, 2014
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Big Ideas Math Geometry, 2014 View details
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Exercise 3 Page 717

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

42

Practice makes perfect
To evaluate the given permutation, we will use the corresponding formula. _n P_r = n!/(n-r)! We are given that n=7 and r=2. Let's substitute these values into the formula.
_n P_r = n!/(n-r)!
_7 P_2 = 7!/( 7- 2)!
_7 P_2 = 7!/5!

Write as a product

_7 P_2 = 7* 6* 5!/5!
_7 P_2 = 7* 6/1
_7 P_2 = 7* 6
_7 P_2 = 42