⇒ Solve this question
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Verified answer
Given that
.
.
.
.
So,
It implies,
Since, each element is used 10 times,
So,
Also,
.
.
.
.
So,
It implies,
Since, each element is used 9 times.
From equation (1) and equation (2), we get
ANSWER:
Given:
To Find:
Solution:
We are given that, A₁, A₂. . . . . A₃₀ all contain 5 elements each.
So,
⇒ Total elements in A₁, A₂. . . . . A₃₀ = 30 * 5 = 150elements.
As each element of S belongs to 10 of A's,
⇒ 10 × S = 150
⇒ S = 15 ------(1)
Now,
We are given that, B₁, B₂. . . . . B all contain 3 elements each.
So,
⇒ Total elements in B₁, B₂. . . . . B = n * 3 = 3n elements.
As each element of S belongs to 9 of B's,
⇒ 9 × S = 3n
From (1),
⇒ 9 × 15 = 3n
⇒ n = 135/3
⇒ n = 45
Therefore, the correct option is c) 45.