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Sets and Relations question

2022 · 29 Jul · Shift 1 · Q46
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  5. /2022 · 29 Jul · Shift 1 · Q46

Sets and Relations question

2022 · 29 Jul · Shift 1 · Q46

JEE MainMathematicsSets and RelationsNumerical+4 / −1
Let S={4,6,9}S=\{4,6,9\}S={4,6,9} and T={9,10,11,…,1000}T=\{9,10,11, \ldots, 1000\}T={9,10,11,…,1000}. If A={a1+a2+…+ak:k∈N,a1,a2,a3,…,akA=\left\{a_{1}+a_{2}+\ldots+a_{k}: k \in \mathbf{N}, a_{1}, a_{2}, a_{3}, \ldots, a_{k}\right.A={a1​+a2​+…+ak​:k∈N,a1​,a2​,a3​,…,ak​ ϵS}\epsilon S\}ϵS}, then the sum of all the elements in the set T−AT-AT−A is equal to ‾\underline{\hspace{2cm}}​.
Numerical answer
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