Discrete Math How many possible combinations can be made fro

Discrete Math

How many possible combinations can be made from using the students first initial and a random 3 digit number (000-999). (E.G. A354)

Solution

Answer :

1000

---->001 to 999 is 999 combinations

---->for 000 we have 1

....>so thats 999+1=1000 combos

since the number is 3 digit

the 1st digit can be 0-9(10 possibilities)

and 2nd can be 0-9(10)

and 3rd can be 0-9(10)

number of combinations=number of choices ^ number of picks

                                  =10^3

                                  =1000