46.
A rough estimate can be arrived at if you consider the fact that 210 = 1024 which is approx 103.
Then 2150 = (210)15 ≈ (103)15 = 1045 which is a 46 digit number.
A more precise answer can be obtained by using logarithms.
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36
8. A way to work this out is figure out how many possible digits can go in each place value position (units, tens, hundreds) and multiply these together. Since there are 2 possible digits that can go in each position and there are three positions, you would go: 2 x 2 x 2 = 8 Want a list? 222 225 252 255 555 552 525 522
If the number with the digits reversed can have a leading 0 so that it is a 1-digit number, then 16. Otherwise 13.
120 There are 6 digits in total. The numbers with 3 digits, with all digits distinct from each other, are the permutations of the 6 digits taken 3 at a time, and therefore there are 6*5*4 = 120 of them.
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