Question

Total number of ordered pairs in universal relation for set B= {α,β, gamma, delta} is _____​

Pls answer asap

Answer 1

Given :  Set B = { α , β , γ , δ)

To Find : Total number of ordered pairs

Solution:

Set B = { α , β , γ , δ)

There are 4 elements

a pair have 2 elements

2 elements out  of 4 can be selected in ⁴C₂  = 6 ways

And its given that ordered pair hence order of elements also matter hence each pair can be arranged in 2 ways

Hence total number of ordered pairs in universal relation for set B= { α , β , γ , δ)  are  2 * 6  = 12

Here is the list

{ ( α , β) , (α, γ) , (α , δ ) , ( β ,α) , (β, γ) , (β , δ ) , (  γ , β) , (γ, α) , (γ , δ ) , ( δ ,α) , (δ,β) , (δ , δ ) }

12 number of ordered pairs

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