httpsstatick12comelibb121246910211242614691067a1968e7139303e

https://static.k12.com/eli/bb/1212/4_69102/1_124261_4_69106/7a1968e7139303e8042aadc95be14f1c8156a9e3/media/9c13ed1543aaf167c826926854e0ab647a7c1af8/AAHS_M9S1L2_2_teacher_graded_assignment_PROJECTGUIDE.pdf

Solution

#(1)

To register for online banking services at a local credit union, you need to select a four-digit personal identification number, or pin code. The digits cannot be repeated. How many ways are there to arrange four digits out of the numerals 0 through 9 to create a code?

= [10 * 9 * 8 * 7] = 5040    [ answer]

#(2)

A clothing designer enters a competition to show ten original outfits at a fashion show. If the designer has 12 outfits to choose from, how many ways are there to arrange the order in which he will show ten of them?

so,

here n = 12 , r = 10

P(n,r) = n! / (n - r)!

12^p10 = 12!/(12-10)! = 12!/2! = 12*11*10*9*8*7*6*5*4*3 = 239500800   [ answer]