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. Le

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=​

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Athena 2 weeks 2021-09-07T04:38:29+00:00 1 Answer 0 views 0

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    2021-09-07T04:39:48+00:00

    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

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