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Sets and Relations question

2025 · 7 Apr · Shift 1 · Q49

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PYQ Library
JEE Main
Mathematics
Sets and Relations
2025 · 7 Apr · Shift 1 · Q49

Sets and Relations question

2025 · 7 Apr · Shift 1 · Q49

JEE MainMathematicsSets and RelationsNumerical+4 / −1

For

n \geq 2

, let

S_n

denote the set of all subsets of

\{1,2, \ldots, n\}

with no two consecutive numbers. For example

\{1,3,5\} \in S_6

, but

\{1,2,4\} \notin S_6

. Then

n\left(S_5\right)

is equal to

\underline{\hspace{2cm}}

Numerical answer

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