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Padma Bhushan Borah Grade: 12
        


Among the Natural no.s {1,2,3,.....23,24,25},in how many ways we can draw 11 no.s so that no two of them are consecutive?



6 years ago

Answers : (1)

Chetan Mandayam Nayakar
312 Points
										

 


Dear Borah, 


first let there be a gap of one number between every two consecutive selections. when this is done, we have fixed 11*2 -1 =21 consecutive numbers. each of the remaining 4 numbers can be inserted into any one of 12 spaces. thus the number of ways=12*12*12*12=124


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Chetan Mandayam Nayakar – IIT Madras  

6 years ago
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