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.

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(75887) (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

RELATED QUESTIONS
License plates for private cars and PUVs have 3 letters followed by 4 numbers, while... (answered by math_helper)

License plates for private cars and PUVs have 3 letters followed by 4 numbers, while... (answered by math_helper)

License plates for private cars and PUVs have 3 letters followed by 4 numbers, while... (answered by math_helper,Alan3354)

A state has license plates with 3 letters and 3 numbers. if the letter x is never used,... (answered by Fombitz)

European car licenses have 1 letter, 3 numbers, and 3 letters. [x ooo xxx] How many... (answered by stanbon)

using the letters MATHS how many 5 letter "number plates" can you make you can use... (answered by psbhowmick)

The format of some Texas license plates is letter, letter, number, letter, number,... (answered by josmiceli)

Need Help With This Problem... Thank You!! 3. How many three-symbol codes... (answered by liz36)

How many different license plates can be made if the plates are to be letter (a-z),... (answered by stanbon)