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Direction: Read the following text and answer the following questions on the basis of the same:
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 = {b1, b2, b3} G = {g1, g2} 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 find the number of injective functions from B to G. How many numbers of injective functions are possible?
  • a)
    0
  • b)
    2!
  • c)
    3!
  • d)
    0!
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Direction: Read the following text and answer the following questions...
In a function,
Every element of set B will have an image.
Every element of set B will only one image in set
For injective functions
All elements of set G should have a unique pre-image
Which is not possible
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Direction: Read the following text and answer the following questions on the basis of the same: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 = {b1, b2, b3} G = {g1, g2} 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 functionsRavi wants to find the number of injective functions from B to G. How many numbers of injective functions are possible?a)0b)2!c)3!d)0!Correct answer is option 'A'. Can you explain this answer?
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Direction: Read the following text and answer the following questions on the basis of the same: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 = {b1, b2, b3} G = {g1, g2} 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 functionsRavi wants to find the number of injective functions from B to G. How many numbers of injective functions are possible?a)0b)2!c)3!d)0!Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Direction: Read the following text and answer the following questions on the basis of the same: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 = {b1, b2, b3} G = {g1, g2} 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 functionsRavi wants to find the number of injective functions from B to G. How many numbers of injective functions are possible?a)0b)2!c)3!d)0!Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: Read the following text and answer the following questions on the basis of the same: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 = {b1, b2, b3} G = {g1, g2} 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 functionsRavi wants to find the number of injective functions from B to G. How many numbers of injective functions are possible?a)0b)2!c)3!d)0!Correct answer is option 'A'. Can you explain this answer?.
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