Let $S=\{1,2,3,5,7,10,11\}$. The number of nonempty subsets of $S$ that have the sum of all elements a multiple of $3$ , is $........$
Let $S=\{1,2,3,5,7,10,11\}$. The number of nonempty subsets of $S$ that have the sum of all elements a multiple of $3$ , is $........$
- [JEE MAIN 2023]
- A
$42$
- B
$43$
- C
$41$
- D
$40$
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- [IIT 2024]
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- [JEE MAIN 2023]
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