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An organization conducted bike race unde...

An organization conducted bike race under 2 different categories-boys and girls. Totally there were 250 participants. Among all of them finally three from Category 1 and two from Category 2 were selected for the final race. Ravi forms two sets B and G with these participants for his college project.
Let `B={b_(1),b_(2),b_(3)} G={g_(1),g_(2)}` where B represents the set of boys selected and G the set of girls who were selected for the final race.

Ravi decides to explore these sets for various types of relations and functions
Let `R:BtoG` be deined by `R={(b_(1),g_(1)),(b_(2),g_(2)),(b_(3),g_(1))}`,then R is _______

A

Injective

B

Surjective

C

Neither Surjective nor Injective

D

Surjective and Injective

Text Solution

Verified by Experts

The correct Answer is:
B
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An organization conducted bike race under 2 different categories-boys and girls. Totally there were 250 participants. Among all of them finally three from Category 1 and two from Category 2 were selected for the final race. Ravi forms two sets B and G with these participants for his college project. Let B={b_(1),b_(2),b_(3)} G={g_(1),g_(2)} where B represents the set of boys selected and G the set of girls who were selected for the final race. Ravi decides to explore these sets for various types of relations and functions Ravi wants to know among those relations, how many functions can be formed from B to G?

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