How Many Three Digit Whole Numbers Can Be Formed Using 1, 2, 3, And 0 Such That There Are No Digits Repeated?

How many three digit whole numbers can be formed using 1, 2, 3, and 0 such that there are no digits repeated?

 

Answer:

18 whole numbers

Step-by-step explanation:

How many three digit whole numbers can be formed using 1, 2, 3, and 0 such that there are no digits repeated?

___ ___ ___

1st   2nd  3rd

first digit: you only have 3 choices (1, 2 and 3) since 0 cannot be considered as 1st digit since it will not be considered three digit if 0 is used

2nd digit: you only have 3 choices (0 and two of the remaining digits you have not choose as the first digit)

3rd digit: you only have 2 choices (since you have already chosen 2 numbers for the first and 2nd digit)

= 3 × 3 × 2 = 18 whole numbers


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