SOLUTION: In how many ways can you form a three-digit numbers greater than 300 using the digits 1, 2, 3, 4 if: a. repetition is allowed? b. repetition is not allowed?

Algebra ->  Permutations -> SOLUTION: In how many ways can you form a three-digit numbers greater than 300 using the digits 1, 2, 3, 4 if: a. repetition is allowed? b. repetition is not allowed?       Log On


   

Question 1174675: In how many ways can you form a three-digit numbers greater than 300 using the digits 1, 2, 3, 4 if:
a. repetition is allowed? b. repetition is not allowed?
Answer by ikleyn(52824) About Me  (Show Source):
You can put this solution on YOUR website!
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(a)   2*4*4 ways.

      There are 2 possibilities for the first digit (the digits 3 or 4) and 4 possibilities for the 2nd and 3rd positions.


(b)   2*3*2 ways.

      There are 2 possibilities for the first position (the digits 3 or 4);

      3 possibilities of remaining digits for the 2nd position and
      2 possibilities of remaining digits for the last position.