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JEE MATHEMATICS MCQ: PERMUTATIONS

1 Easy
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Application +4 | -1
Let f(n)f(n) denotes the number of different ways the positive integer nn can be expressed as the sum of 1's and 2's. For example f(4)=5f(4)=5, since 4=1+1+1+1,1+1+2,1+2+1,2+1+1,2+24=1+1+1+1,1+1+2,1+2+1,2+1+1,2+2 (Note Order of 1's and 2's is important). Then, f{f(6)}f\{f(6)\} is
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Correct option: C
f(13)f(13)
Option C (f(13)f(13)) is correct because f(6)f(6) is calculated to be 13, and therefore f(f(6))=f(13)f(f(6)) = f(13).

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