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Question

Question: You have the following digits 4,5,6,0,7 and 8. Using them, make five numbers each with 6 digits....

You have the following digits 4,5,6,0,7 and 8. Using them, make five numbers each with 6 digits.

Explanation

Solution

We have to make only five numbers from the given digits such that the number is a six digit number. When we use these digits to make a number, 0 cannot take the first place as it makes the number a five digit number.

Complete step by step solution:
We are given the digits, 4,5,6,0,7 and 8.
We have to make five numbers which are 6 digits.
We have to include all the given six digits in the number.

The first place can have only 5 digits, 1,4,6,7,8.
0 cannot come in first place as it will form a five digit number.
Rest once a number is used, it should not be used again.
Therefore, total 5×5×4×3×2×1=6005 \times 5 \times 4 \times 3 \times 2 \times 1 = 600
Therefore, there are 600 such numbers possible.
We will write only 5 of them.
The numbers are:
456078
568704
674085
876540
640875

Note:
The above question has many possible answers. Since, there are more than 5 numbers that can be formed using all the digits. Make sure to include all 6 digits as it is required in the question. and if 0 comes in first place, the number will be a five digit number.