Let U(i=1 to n)Xᵢ = U(i=1 to 50)Yᵢ = T, where each Xᵢ contains 10 elements and each Yᵢ contains 5 elements. If each element of the set T is an element of exactly 20 of sets Xᵢ 's and exactly 6 of sets Yᵢ 's then n is equal to:
Let U(i=1 to n)Xᵢ = U(i=1 to 50)Yᵢ = T, where each Xᵢ contains 10 elements and each Yᵢ contains 5 elements. If each element of the set T is an element of exactly 20 of sets Xᵢ 's and exactly 6 of sets Yᵢ 's then n is equal to:
Option 1 - <p>15</p>
Option 2 - <p>30</p>
Option 3 - <p>45</p>
Option 4 - <p>50</p>
3 Views|Posted 5 months ago
Asked by Shiksha User
1 Answer
V
Answered by
5 months ago
Correct Option - 2
Detailed Solution:
Let number of elements in T is R.
∴ 20R = 500 ⇒ R = 25
and 6R = 5N ⇒ N = 30
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