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The number of 4 digit numbers greater than 5,000 can be formed out of the digits 3,4,5,6&7 . The number of such is?
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The number of 4 digit numbers greater than 5,000 can be formed out of ...
To form a 4-digit number greater than 5,000, the first digit can only be 5 or 6.

Case 1: First digit is 5.

For the second digit, we have 3 choices (3, 4, or 6).
For the third digit, we have 4 choices (any of the remaining 3 digits or 5).
For the fourth digit, we have 3 choices (any of the remaining 2 digits or 5).

So, the total number of 4-digit numbers greater than 5,000 with the first digit as 5 is:

3 × 4 × 3 = 36

Case 2: First digit is 6.

For the second digit, we have only 2 choices (3 or 4).
For the third digit, we have 3 choices (any of the remaining 3 digits).
For the fourth digit, we have 2 choices (any of the remaining 2 digits).

So, the total number of 4-digit numbers greater than 5,000 with the first digit as 6 is:

2 × 3 × 2 = 12

Therefore, the total number of 4-digit numbers greater than 5,000 that can be formed using the digits 3, 4, 5, and 6 is:

36 + 12 = 48
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The number of 4 digit numbers greater than 5,000 can be formed out of the digits 3,4,5,6&7 . The number of such is?
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