Question 697698
Odd numbers end in an odd digit.  There is just one odd digit, 7,
so we can choose the third digit just 1 way.

 
we can choose the 1st digit any of 4 ways
we can choose the 2nd digit any of 4 ways 
we can choose the 3rd digit just 1 way (as 7),

So the number of ways is 4󫶕 = 16 ways

They are:

227, 247, 267, 277,
427, 447, 467, 477,
627, 647, 667, 677,
727, 747, 767, 777.

Edwin</pre>