Question

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:
[1 Mark]

• A. 7
• B. 3
• C. 2
• D. 5

Answer 1

The correct option is C 2

𝑛(𝐴) = 5
𝑛(𝐵) = 𝑥
𝑛(𝐴×𝐵)=1024=$2^{10}$
$2^5$𝑥= $2^{10}$
5𝑥=10
𝑥=2 [1 Mark]