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Let an denote the number of all n-digit positive integers formed by the digits 0,1 or both such that no consecu- tive digits in them are 0. Let bn = the number of such n-digit integers ending with digit 1 and cn = the number of such n-digit integers ending with digit 0. What is the value of b6?

Let an denote the number of all n-digit positive integers formed by the digits 0,1 or both such that no consecu- tive digits in them are 0. Let bn = the number of such n-digit integers ending with digit 1 and cn = the number of such n-digit integers ending with digit 0. 
What is the value of b6?

Grade:12

2 Answers

Arun
25750 Points
5 years ago
Dear student
 
I am getting my answer as b6 = 8
Please letme know if this is correct then I will share my solution.
Hope it helps
 
Regards
Arun (askIITians forum expert)
 
Unknown
13 Points
5 years ago
100001,100011,100111,101111,111111,110011,100101 and 101001 are the only possibilities of b6.
Hence,b6=8

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