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
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.
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