Question 1177814: consider the numbers 1,4,5,8,9 and 0. if repetition is not aalowed, how many three-digit numbers can be formed from these numbers?
Answer by math_helper(2461)   (Show Source):
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Five choices for the hundreds digit {1,4,5,8,9}.
Five choices for the tens digit {five digits, the four not chosen above, + "0"}.
Four choices for the ones digit {the four remaining digits}.
5*5*4 = 100
The above assumes a true 3-digit number (in the purest numerical sense, "014" would not be a 3-digit number because it is normally written "14"). However, in some applications (keypad lock for example, 014 could be combination). If leading zero is allowed, you get 6*5*4...
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