Tip:A–D to answerE for explanationV for videoS to reveal answer
The number of seven digits odd numbers, that can be formed using all the seven digits 1,2,2,2,3,3,5 is ________.
- A.
240
(Correct Answer) - B.
241
- C.
239
- D.
238
Explanation
Calculation
Digits: {1,2,2,2,3,3,5}
Odd Digits: 1,3,3,5
| Case |
Last Digit (Units Place) |
Remaining Digits |
Calculation |
Result |
| Case 1 |
1 |
{2,2,2,3,3,5} |
3!×2!6! |
60 |
| Case 2 |
3 |
{1,2,2,2,3,5} |
3!6! |
120 |
| Case 3 |
5 |
{1,2,2,2,3,3} |
3!×2!6! |
60 |
Total Odd Numbers:
Answer: 240
Explanation
Calculation
Digits: {1,2,2,2,3,3,5}
Odd Digits: 1,3,3,5
| Case |
Last Digit (Units Place) |
Remaining Digits |
Calculation |
Result |
| Case 1 |
1 |
{2,2,2,3,3,5} |
3!×2!6! |
60 |
| Case 2 |
3 |
{1,2,2,2,3,5} |
3!6! |
120 |
| Case 3 |
5 |
{1,2,2,2,3,3} |
3!×2!6! |
60 |
Total Odd Numbers:
Answer: 240
