SOLUTION: How many 3 letter and 3 number licenses plates can be made if you cant use the numbers 1,2,3 and you cant use the letters t,v,w,x,y and no number or letter can repeat in the plate.

If you need immediate math help from PAID TUTORS right now, click here. (paid link)
Click here to see ALL problems on test

Question 139671: How many 3 letter and 3 number licenses plates can be made if you cant use the numbers 1,2,3 and you cant use the letters t,v,w,x,y and no number or letter can repeat in the plate.
Answer by stanbon(48530) (Show Source):
You can put this solution on YOUR website!
How many 3 letter and 3 number licenses plates can be made if you cant use the numbers 1,2,3 and you cant use the letters t,v,w,x,y and no number or letter can repeat in the plate.
------------------
There are 7 digits you can use.
# of ways to pick 3 of the 7 digits: 7C3
-----------------------------------
There are 21 letters you can use.
number of ways you can pick 3 of the 21 letters: 21C3
------------------------------------
# of ways to arrange the 7 objects you pick: 7!
-----------------------------------
Total # of license plates: 7C3 * 21C3 * 7! = 35*1330*5040 = 234,612,000