Big Ideas Math Geometry, 2014
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Big Ideas Math Geometry, 2014 View details
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Exercise 4 Page 717

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

336

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=8 and r=3. Let's substitute these values into the formula.
_n P_r = n!/(n-r)!
_8 P_3 = 8!/( 8- 3)!
_8 P_3 = 8!/5!

Write as a product

_8 P_3 = 8* 7* 6* 5!/5!
_8 P_3 = 8* 7* 6/1
_8 P_3 = 8* 7* 6
_8 P_3 = 336