## cos00155079 2 years ago forming license plate numbers..how many different license plate numbers can be made by using one letter followed by five digits selected from 0 through 9?

1. satellite73

counting principle for this one 26 choices for the letter $10^5=100,000$ for the 5 digit number you get $26\times 100,000$

2. cos00155079

so what formula do i use?

3. cos00155079

and ewhy 10 to the five power?

4. kropot72

The number of different permutations of n different things taken k at a time with repetitions is $n ^{k}$ In your question the number of digits from 0 ~ 9 is 10 and the digits are taken 5 at a time.