Question

A skiing event has 16 participants for the slalom. The 5 participants with the fastest speeds will be listed, in the order of their speed, on the leader board. How

many different ways are there for the five names to be listed

Answer 1

52,4160

Explanation:

You would have to answer this question using permutations!

They are arrangements where the order does matter.The formula is
`nPr`=
`(n!)/((n-r)!)` (! means factorial)

n= the total number of objects

r = the number of objects selected

your n would be 16 and r would be 5

keep you graphing calculator handy and hit the math button, go to the PROB menu and select the second option

you could also put 16 and 5 into the formula I gave you and write it out like so: 16*15*14*13*12*11*10*9*8*7*6*5*4*3*2*1/11*10*9*8*7*6*5*4*3*2*1

you would be left with 16*15*14*13*12 which is 524160