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`        The number of 6 digit numbers that can be made with the digits 1,2,3 and 4 and having exactly two pairs of digits, is`
3 years ago

Nishant Vora
IIT Patna
2467 Points
```							exactly two pairs means we can pair 1,2 with 3,4 and so onHence, 2 pairs = 4 numbershence all 4 numbers should be includedso number of 6 digit numbers which can be formed by using thedigits 1,2,3 and 4.4^6
```
3 years ago
Lavya
15 Points
```							Choose the repeat digits from {1,2,3,4} in C(4,2) ways then the remaining two digits take care of themselves since we are not allowed any more pairs. Now we have 6 numbers with 2 pairs and 2 singles which may be permuted in 6!/(2!2!1!1!) ways: C(4,2)*6!/(2!2!1!1!) = 1080
```
one year ago
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• 101 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions