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Question
Using the digits 3, 5 and 7 (without any repitition), how many distinct numbers can be formed?
Using the digits 3, 5 and 7 (without any repitition), 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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