Sets, Relations and Functions: JEE Main 2020 Mathematics question

JEE Main 2020 · 4 Sep, Evening shift · Q5359

JEE Main 20204 Sep, Evening shiftMathematicsMediumSets, Relations and Functions168× since 2002

Let

\mathop \cup \limits_{i = 1}^{50} {X_i} = \mathop \cup \limits_{i = 1}^n {Y_i} = T

where each X_i contains 10 elements and each Y_i contains 5 elements. If each element of the set T is an element of exactly 20 of sets X_i’s and exactly 6 of sets Y_i’s, then n is equal to :

Sets, Relations and Functions: JEE Main 2020 Mathematics question

JEE Main 2020 · 4 Sep, Evening shift · Q5359

JEE Main 20204 Sep, Evening shiftMathematicsMediumSets, Relations and Functions168× since 2002

Let

\mathop \cup \limits_{i = 1}^{50} {X_i} = \mathop \cup \limits_{i = 1}^n {Y_i} = T

where each X_i contains 10 elements and each Y_i contains 5 elements. If each element of the set T is an element of exactly 20 of sets X_i’s and exactly 6 of sets Y_i’s, then n is equal to :

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