In one lottery state game, you must select four-digits(digits may be repeated). If your number matches exactly the four-digits selected by the lottery commission, you win.
A) how many different numbers may be chosen?
B) If you purchase one lottery ticket, what is your chance of winning?

Question

In one lottery state game, you must select four-digits(digits may be repeated). If your number matches exactly the four-digits selected by the lottery commission, you win. 
A) how many different numbers may be chosen?
B) If you purchase one lottery ticket, what is your chance of winning?

kropot72 · Answer

The number of different permutations of n different things taken k at a time with repetitions is 
$$n ^{k}$$
Assuming the 10 digits from 0 to 9 are available the number of permutaions is
$$10^{4}$$