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JEE Main202524 Jan 2025Morning ShiftMathematicsSets and RelationsActual

Let S= p₁, p₂ ., p₁₀ be the set of first ten prime numbers. Let A=S P , where P is the set of all possible products of distinct elements of S . Then the number of all ordered pairs ( x, y ), x S , y A , such that x divides y , is ______.

Correct answer

0

Step-by-step solution

aligned & Let y x = & y= x & =10 ( ^9 C₀+ ^9 C₁+ ^9 C₂+ ^9 C₃+ + ^9 C₉ ) & =10 2 & =10 512=5120 aligned

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