If there are 1024 relations from a set A ={1,2,3,4,5} to a set B, then the number of elements in B is
Answers
We need to find the number of element in B
Given: Relation is 1024 and set A ={1,2,3,4,5}
The relation is calculated as n = 2^A * B
Since Relation from a set A to B is 1024 and element in A is 5.
Re-write 1024 as 2^10
Since, bases are same then equate the power
10 = 5 * B
B = 2
Hence, the number of element in B is 2
Therefore, correct option is 2) 2
Hope this helps!
Answer: If there are 1024 relations from a set A ={1,2,3,4,5} to a set B, then the number of elements in B is 2.
Step-by-step explanation:
set A= ( 1,2,3,4,5)
∴ number of elements in A
n(A)= 5
Let, n(B)= x
Given, there are 1024 relations from set A to set B.
∴ we have the relation,
n(A)×n(B)= 1024
n(A)×n(B)= 1024=2¹⁰
⇒ 2⁵ˣ = 2¹⁰
⇒ 5x = 10
⇒x = 2
Therefore, there will be 2 elements present in the set B.
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