How many integers between 1000 and 10000 have no digits other than 4, 5 or 6?Choices:- 81 91 51 61

To solve this problem, we need to consider the number of digits in the integers between 1000 and 10000.

1. For a 4-digit number, each digit can be either 4, 5, or 6. So, there are 3 options for each of the 4 digits. Therefore, the total number of 4-digit numbers with these digits is 3^4 = 81.

2. For a 5-digit number, it can't be more than 10000, so the first digit can only be 1, which is not allowed in this problem. Therefore, there are no 5-digit numbers that meet the criteria.

So, the total number of integers between 1000 and 10000 that have no digits other than 4, 5, or 6 is 81.