Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Suppose 
are thirty sets each having 5 elements and 
are 
sets each with 3 elements, let 
and each element of 
belongs to exactly 10 of the 
's and exactly 9 of the 
's. Then 
is equal to
Text Solution
Verified by ExpertsThe correct answer is:
C
If elements are not repeated, then number of elements in 
is 
. But each element is used 10 times, so 
… ..(i)
Similarly, if elements in 
are not repeated, then total number of elements is 
but each element is repeated 9 times, so
[from (i)]
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
Two finite sets have and elements. The number of subsets of the first set is 112 more than that o…
The set is equal to
Let be the set of parallelograms, the set of rectangles, the set of rhombuses, the set of squar…
Let set of points inside the square, the set of points inside the triangle and the set of points…
Let be the set of points inside a rectangle of sides and with two sides along the positive direc…
In a class of 60 students, 25 students play cricket and 20 students play tennis, and 10 students pl…