Select the correct answerHow many different 4 digit numbers can be formed using the digits 1, 2, 5, 6, 7 and 8?Options36072024120
Question
Select the correct answerHow many different 4 digit numbers can be formed using the digits 1, 2, 5, 6, 7 and 8?Options36072024120
Solution
The answer to this question can be found using the concept of permutations in mathematics.
A permutation is an arrangement of objects in a specific order. The number of permutations of n objects taken r at a time is given by the formula nPr = n! / (n-r)!.
In this case, we have 6 different digits (1, 2, 5, 6, 7, 8) and we want to form a 4-digit number. So, n = 6 and r = 4.
Using the formula, we get 6P4 = 6! / (6-4)! = 654*3 = 360.
So, the correct answer is 360.
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