Using the integers 2,3,4,5,

Question

How many 3-digit odd numbers less than 300 can be formed if no repetition of digits is allowed?
Please explain and show work.

Answer 1

1st digit: 2
last digit: 3,5

So, there are 1*2*2 = 4 possibilities.

Check:
235
245
253
254

Answer 2

Hmmm. How did 254 make it into the list?
Ought not to be 243