How many odd numbers with middle digit 5 are there between 40000 and 69999 with no digits repeated?

Answer 1

To find the number of odd numbers with the middle digit 5 between 40000 and 69999 with no repeated digits, we can break down the problem. Since the middle digit is fixed at 5, we have to choose the other four digits without repetition.

For the first digit (thousands place), we have 2 options (4 or 6). For the last digit (units place), we have 5 options (1, 3, 7, 9, 0). For the hundreds place and ten-thousands place, we have 8 and 7 options respectively.

Therefore, the total number of odd numbers meeting the criteria is 2 * 8 * 7 * 5 = 560.

Answer 2

The middle digit must be 5 (1 choice). The first digit can be only 4 or 6 (2 choices). The final digit can be 1, 3, 7, or 9 (4 choices). The tens digits and thousands digit have 7 and 6 choices. Therefore the answer is 27164 = 336.

Answer 3

Well, darling, let's break it down for you. The middle digit has to be 5, so that's only one option. The first digit can be anything from 4 to 6, giving us 3 options. The last digit can be any odd number except 5, so that's 4 options. Multiply those together and you get 12 odd numbers with the middle digit 5 between 40000 and 69999 with no repeated digits.

Answer 4

2000