How many different 5-digit numbers can you write using each of the digits 0, 1, 2, 3, 4 exactly once?
1 answer:
Answer:
96
Step-by-step explanation:
To get 5 digit numbers using the digits 0,1,2,3,4 exactly once = 4*4*3*2*1 = 96.
Step 1:
1st digit can be 1, 2,3,4 ( it can't be 0) so there are 4 choices.
Step 2:
2nd digit = 4 choices.
Step 3:
3rd digit = 3 choices
Step 4:
4th digit = 2 choices
Step 5:
5th digit = 1 choice .
So the number of different 5 digit number is 4*4*3*2*1 = 96
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