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`        Number of ways to distribute n distinct  items into r distinct bins (r `
one year ago

Arun
23489 Points
```							For n distinct objects into r distinct groups: 	Number of ways exactly 1 object can be placed in r groups = nCr	Number of remaining objects = (n-r)	Now, each of these (n-r) objects can be placed into any of the r groups.	Hence, number of ways of distributing them = (n-r)^r	Therefore, total number of ways of doing this =  nCr * (n-r)^rAnswer : nCr * (n-r)^r
```
one year ago
Natarajan
22 Points
```							Arun,Thank you so much for your quick response. This is a very good way of thinking. Really appreciate. However. I have a doubt. nCr is the number of ways of selecting r items from n items. But they can be put in r bins in r! ways. Then each of the (n-r) items can be placed in r bins in (n-r)^r ways. So the total number of ways should be nCr.*r! * (n-r)^r. Appreciate your comments
```
one year ago
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### Course Features

• 731 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions