Let S be the set of the first 11 natural numbers. Then the number of elements in A= S: n(B)≥2 and the product of all elements of B is even is _ _ _ _.

Permutations and Combinations: JEE Main 2026 Mathematics question

JEE Main 2026 · 22 Jan, Evening shift · Q22

JEE Main 202622 Jan, Evening shiftMathematicsMediumPermutations and Combinations98× since 2002

Let

S

be the set of the first

11

natural numbers. Then the number of elements in

A=\{B\subseteq S: n(B)\ge2

and the product of all elements of

B

is even

\}

is ________.

Your answerType your answer. Integers and decimals are accepted.