How many different license plates can be made using 2 letters followed by 4 digits selected from the digits 0 through 9, if neither letters nor digits may be repeated?

Question

blockcolder · Answer

To solve these kinds of problems, think of the license plate as 6 blanks you have to fill up _ _ _ _ _ _ and for each blank, ask yourself, "How many letters/numbers can I still put here?"

anonymous · Answer

6 letters and 6 numbers

anonymous · Answer

$$\frac{26 !}{(24)!} *\frac{10!}{(6)!}   = 327,6000 $$

anonymous · Answer

I think the answer is 68,250
there are 26 letters only i can use 2, i have 10 numbers only i can us 4

$$C(26,2)*C(10,4)$$

blockcolder · Answer

It's not $\binom{26}{2}$ because BA1234 is different from AB1234.

anonymous · Answer

so whats the answer?
		
6,760,000
		
3,276,000
		
1,965,600
		
68,250

blockcolder · Answer

It's 3276000 like what was said previously.

anonymous · Answer

oh christ, did you even look at the anwser i posted , you just need to put the comma where it belongs. you know how to do that dont you ?