How many odd numbers between 300 and 400 are there in which none of the digits is repeated?

• Correct answer
  A

  32
• B

  36
• C

  40
• D

  45

Solution

3 is fixed in hundred place, so no. of choice $=1$ Number of choice for unit place $\{1,5,7,9\}=4$ Number of choice for tens place $=8$ $\therefore \quad$ Number of odd number between 300 and 400 $=1 \times 4 \times 8=32$

Hence, the correct answer is option: 'A'.