Let S = 1, 2, 3, 4, 5, 6, 9. Then the number of elements in the set T = A S: A ≠ φ and the sum of all the elements of A is not a multiple of 3 is _ _ _ _ _ _ _ _.

Permutations and Combinations: JEE Main 2021 Mathematics question

JEE Main 2021 · 27 Aug, Evening shift · Q46

JEE Main 202127 Aug, Evening shiftMathematicsMediumPermutations and Combinations98× since 2002

Let S = {1, 2, 3, 4, 5, 6, 9}. Then the number of elements in the set T = {A

\subseteq

S : A

\ne

\phi

and the sum of all the elements of A is not a multiple of 3} is _______________.

Your answerType your answer. Integers and decimals are accepted.