SOLUTION: How many 3-digit numbers greater than 400 can you make using the numbers 2, 1, 4 and 3 only once each time?

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Question 301724: How many 3-digit numbers greater than 400 can you make using the numbers 2, 1, 4 and 3 only once each time?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The first number needs to be a 4 so that the number is > 400.
That leaves 3 numbers (1,2,3) for 2 positions.
N=3%21%2F%283-2%29%21=6 numbers
or by brute force,
+412+
+413
+421
+423
+431
+432
6 numbers.