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How many integers between 1000 and 10000 have no digits other than 3, 4, 5 or 6?Choices:- 256 289 324 452

Question

How many integers between 1000 and 10000 have no digits other than 3, 4, 5 or 6?

Choices:

  • 256
  • 289
  • 324
  • 452
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Solution

To solve this problem, we need to consider the number of possible combinations of the digits 3, 4, 5, and 6 in a four-digit number.

  1. The first digit can be any of the four digits (3, 4, 5, or 6), so there are 4 possibilities.

  2. The second digit can also be any of the four digits, so there are 4 possibilities.

  3. The third digit can also be any of the four digits, so there are 4 possibilities.

  4. The fourth digit can also be any of the four digits, so there are 4 possibilities.

So, the total number of four-digit numbers that can be formed using the digits 3, 4, 5, and 6 is 444*4 = 256.

Therefore, the answer is 256.

This problem has been solved

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