Find the number of numbers between 300 and 3000 that can be formed with the digits 0, 1, 2, 3, 4 and 5, no digit being repeateD.?Select one:a. 120b. 160c. 240d. 60e. None of these

The numbers between 300 and 3000 are all 3 or 4 digits long.

For a 3-digit number, the hundreds place can be filled by any one of the 3 digits (3, 4, 5). The tens place can be filled by any one of the remaining 5 digits (0, 1, 2, and the two not used for the hundreds place). The units place can be filled by any one of the remaining 4 digits. So, there are 354 = 60 such numbers.

For a 4-digit number, the thousands place can be filled by any one of the 3 digits (1, 2, 3). The hundreds place can be filled by any one of the remaining 5 digits (0, 4, 5, and the two not used for the thousands place). The tens place can be filled by any one of the remaining 4 digits. The units place can be filled by any one of the remaining 3 digits. So, there are 354*3 = 180 such numbers.

Adding these together, there are 60 + 180 = 240 numbers that can be formed.

So, the answer is c. 240.