Question

QUS
Let X1. X2...., X30 be 30 sets each with have five elements and Y1.12...., be m-
30
IM
sets each with 3 elements. Let UX =UY, =S
=1
f=1
Suppose that each element of S belongs to exactly 10 of x, and exactly 9 of
T's Then m=​

Answer 1

Answer:

m = 75

Step-by-step explanation:

Total elements in X₁,X₂,X₃,......X₃₀ = 5*30=150

Since each element of S belongs to exactly 10 X, number of element in S ie UX = 150/10 = 15

Similarly no of element in S ie UY = 3(m-30)/9

Since UX = UY =S

⇒ n(UX) = n(UY)

⇒ 15 = 3(m-30)/9= (m-30)/3

⇒ m - 30 = 15*3 = 45

⇒ m = 45 + 30

⇒ m = 75