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JEE MATHEMATICS MCQ: PERMUTATIONS

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Let

a_n=

number of

n

-digit positive integers formed by the digits 0, 1 or both such that no consecutive digits in them is 0.
Let

b_n=

number of such

n

digit integers ending with digit 1, and

c_n=

the numner of such

n

digit integers ending with digit 0, then for

n \geq 3

,

View answer and explanation

Correct option: D

a_n=b_n+c_n

Option D (

a_n=b_n+c_n

) is correct because the total number of n-digit integers is the sum of those ending in 1 and those ending in 0.

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