SOLUTION: How many numbers, consisting of three digits and less than 300, can be formed from the numbers: 1,2,3,4, and 5 if the number is allowed to be repeated in more than one digit?

Algebra ->  Permutations -> SOLUTION: How many numbers, consisting of three digits and less than 300, can be formed from the numbers: 1,2,3,4, and 5 if the number is allowed to be repeated in more than one digit?      Log On


   

Question 1107156: How many numbers, consisting of three digits and less than 300, can be formed from the numbers: 1,2,3,4, and 5 if the number is allowed to be repeated in more than one digit?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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Only two digits, 1 or 2, may stay in the most-left position for the number to be less than 300.   (2 opportunities)


Any of 5 digits may stay in the 2-nd position  (5 opportunities).


Any of 5 digits may stay in the 3-rd ("ones") position  (5 opportunities).


In all,  2*5*5 = 50 numbers are possible.