anonymous
  • anonymous
how many positive integers are there less than 800 such that all the digits are odd?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
hey, how's it going?
anonymous
  • anonymous
good
anonymous
  • anonymous
so let's start with 1,3,5,7,9.

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anonymous
  • anonymous
ok
anonymous
  • anonymous
that is a good base for us, because it's good to remember that there are 5 possibilities for the end digit
anonymous
  • anonymous
why
anonymous
  • anonymous
now what can the 2nd digit be? 1,3,5,7,9, of course
anonymous
  • anonymous
what i dont understand
anonymous
  • anonymous
so for up to 100, we have the 5 1-digit numbers, plus 5 possibilities for the tens digit, and there are 5 possibilities for the ones digit for each of those. so that's 25 more.
anonymous
  • anonymous
you understand so far? in the 10s, 11,13,15,17,19 work. that's 5. in the 30s, 31,33,35,37,39. 5. so there's a pattern. 5+5+5+5+5 = 25 numbers that have all odd digits from 10 to 99

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