Question

with a short time remaining in the day a ups driver has time to make deliveries at only 4 locations among the 10 locations remaining. How many different routes are there if the order of the deliveries must be taken into account??

Answer 1

is this multiplication?

Answer 2

It's stats.

Answer 3

@noahbred

Answer 4

\[10 P 4 = \frac{10!}{6!} = 10*9*8*7\]

Answer 5

So what's the answer from that

Answer 6

5040?

Answer 7

@dumbcow

Answer 8

yes 5040 ... i figured you can do multiplication on your own

Answer 9

Yup thanks can you help me with one more ;)

Answer 10

@dumbcow

Answer 11

ok

Answer 12

How many different routes are there if the order of the deliveries must be taken into account and there are 8 locations remaining?

Answer 13

@dumbcow

Answer 14

same thing just change the 4 to an 8

Answer 15

90? :)

Answer 16

here is general rule for permutations
\[nPr = \frac{n!}{(n-r)!}\]

Answer 17

so its not 90?

Answer 18

no not 90, that would be if 2 remaining

Answer 19

wait i got 75,600???

Answer 20

I am confused help me

Answer 21

@dumbcow

Answer 22

1814400

Answer 23

?

Answer 24

ok 8 remaining means we have 10P8 permutations
--> 10*9*8*7*6*5*4*3

Answer 25

was my last answer correct?

Answer 26

it looks right, i haven't done the multiplying

Answer 27

Can you help me with one more thing ;)

Answer 28

ok

Answer 29

a player wins first prize by selecting the correct 5-number combination when 5 different numbers from 1 through 59 are drawn. It doesn’t matter what order the numbers are drawn in as long as all 5 numbers match
- How many 5-number combinations are there out of 59 numbers
- How many 5-number combinations would there be if they were drawn from 60
different numbers
--------------------------------
is n= 59
r= 5?

Answer 30

@dumbcow