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Sets and Relations question

2025 · 24 Jan · Shift 1 · Q48
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  5. /2025 · 24 Jan · Shift 1 · Q48

Sets and Relations question

2025 · 24 Jan · Shift 1 · Q48

JEE MainMathematicsSets and RelationsNumerical+4 / −1
Let S={p1,p2…,p10}S=\left\{p_1, p_2 \ldots, p_{10}\right\}S={p1​,p2​…,p10​} be the set of first ten prime numbers. Let A=S∪PA=S \cup PA=S∪P, where PPP is the set of all possible products of distinct elements of SSS. Then the number of all ordered pairs (x,y),x∈S(x, y), x \in S(x,y),x∈S, y∈Ay \in Ay∈A, such that xxx divides yyy, is ‾\underline{\hspace{2cm}}​ .
Numerical answer
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