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Select the correct answerHow many different 4 digit numbers can be formed using the digits 1, 2, 5, 6, 7 and 8?Options72024120360

Question

Select the correct answer

How many different 4-digit numbers can be formed using the digits 1, 2, 5, 6, 7 and 8?

Options:

  • 720
  • 24120
  • 360
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Solution

The answer to this question can be found by using the concept of permutations.

A 4-digit number can be formed from 6 different digits in 6P4 ways.

The formula for permutations is nPr = n! / (n - r)!, where n is the number of items to choose from, r is how many items are chosen, and "!" denotes factorial.

Here, n = 6 (the digits 1, 2, 5, 6, 7, 8) and r = 4 (since we want to form a 4-digit number).

So, the number of different 4-digit numbers that can be formed is 6P4 = 6! / (6 - 4)! = 6! / 2! = (6543) / (21) = 360.

So, the correct answer is 360.

This problem has been solved

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