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Let a(n) denote the number of all n-digi...

Let `a_(n)` denote the number of all n-digit numbers formed by the digits 0,1 or both such that no consecutive digits in them are 0. Let `b_(n)` be the number of such n-digit integers ending with digit 1 and let `c_(n)` be the number of such n-digit integers ending with digit 0. Which of the following is correct ?

A

`a_(17) = a_(16) + a_(15)`

B

`c_(17) ne c_(16) + c_(15)`

C

`b_(17) ne b_(16) + c_(16)`

D

`a_(17) = c_(17) + b_(16)`

Text Solution

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The correct Answer is:
A
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