Let _ i=1 ^ 50 X_i= _ i=1 ^ n Y_i=T, where each X_i contains 10 elements and each Y_i contains 5 elements. If...

Question

Let _ i=1 ^ 50 X_i= _ 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 the sets X_i's and exactly 6 of the sets Y_i's, then n is equal to (JEE Main 2022)

Accepted Answer

(C)

JEE Main Mathematics question

Solution