The ‘44’ button on my calculator is spoilt, so I cannot enter numbers which contain the digit 44. Moreover, my calculator does not display the digit 44 if 44 is part of an answer either. Thus I cannot enter the calculation 3×243×24 and do not attempt to do so. Also, the result of multiplying 33 by 1818 is displayed as 55 instead of 5454 and the result of multiplying 66 by 88 is displayed as 88 instead of 4848. If I multiply a positive one-digit number by a positive two-digit number on my calculator and it displays 2626, how many possibilities could I have multiplied?


Answer:

66

Step by Step Explanation:
  1. The possible results when a positive 11digit number is multiplied by a positive 22digit number that will display 2626 is 26,426,246, and 26426,426,246, and 264.
  2. 26=2×13,1×26426=6×71246=3×82264=3×88,8×33
  3. Hence, there are 6 such possibilities.

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