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IIT JEE Advanced 2012 Paper 2

Paragraph for Questions 53 and 54:
Let an denote the number of all n–digit positive integers formed by the digits 0, 1 or both such that no consecutive 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.

Question : 54

Total: 60

Which of the following is correct?

a17 = a16+a15
c17 ≠ c16+c15
b17 ≠ b16+c16
a17 = c17+b16

Validate

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