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Question
Using the digits 3, 5, and 7 (without any repetition), how many distinct numbers can be formed?
Using the digits 3, 5, and 7 (without any repetition), how many distinct numbers can be formed?
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Solution
The correct option is D 6
Given digits are 3, 5, and 7.
Distinct numbers can be formed by shifting the digits as shown below.
Number formed
Hundreds place
Tens place
Units place
753
7
5
3
735
7
3
5
573
5
7
3
537
5
3
7
375
3
7
5
357
3
5
7
So, a total of 6 distinct numbers can be formed using these digits.
Given digits are 3, 5, and 7.
Distinct numbers can be formed by shifting the digits as shown below.
| Number formed | Hundreds place | Tens place | Units place |
| 753 | 7 | 5 | 3 |
| 735 | 7 | 3 | 5 |
| 573 | 5 | 7 | 3 |
| 537 | 5 | 3 | 7 |
| 375 | 3 | 7 | 5 |
| 357 | 3 | 5 | 7 |
So, a total of 6 distinct numbers can be formed using these digits.
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