Question

identify the group of all possible two digit numbers that can be formed using the digits 2,7 and 8; reparation of digit is not allowed
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Answer 1

Answer:

Step-by-step explanation:

1,2,5,7,8 and 9. Thus, we have 6 numbers. Then we want to form two-digit numbers without repetition. There are 6 number that is possible to occupy first digit, right? 1,2,5,7,8 or 9. Because it’s without repetition, so the number that have been filled the first digit cannot be the second digit. Thus, the numbers that is possible to occupy second are 5 digits. Thus, there are 6 x 5 = 30 numbers that can we form from those 6 numbers: 1,2,5,7,8 and 9 without repetition.

or by using permutation, there are two place would be filled by six number, so the permutation is 6P2 = 6!/ (6–2)! = 6!/4! = 6 x 5 = 30.

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