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Find the number of bijective functions from set A to itself when A contains 106 elements.
- a)106
- b)1062
- c)106!
- d)2106
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Find the number of bijective functions from set A to itself when A con...
For a finite set S, there is a bijection between the set of possible total orderings of the elements and the set of bijections from S to S. That is to say, the number of permutations of elements of S is the same as the number of total orderings of that set, i.e. n!
We have set A that contains 106 elements, so the number of bijective functions from set A to itself is 106!
We have set A that contains 106 elements, so the number of bijective functions from set A to itself is 106!
Most Upvoted Answer
Find the number of bijective functions from set A to itself when A con...
For a finite set S, there is a bijection between the set of possible total orderings of the elements and the set of bijections from S to S. That is to say, the number of permutations of elements of S is the same as the number of total orderings of that set, i.e. n!.
We have the set A that contains 106 elements, so the number of bijective functions from set A to itself is 106!.
We have the set A that contains 106 elements, so the number of bijective functions from set A to itself is 106!.
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Community Answer
Find the number of bijective functions from set A to itself when A con...
Explanation:
Counting Bijective Functions:
- A bijective function is a function that is both injective (one-to-one) and surjective (onto).
- For a bijective function from a set A to itself, each element in A must be mapped to a unique element in A.
- Since there are 106 elements in set A, each element can be mapped to any of the 106 elements in A.
Calculating the Number of Bijective Functions:
- To calculate the number of bijective functions, we need to find the number of permutations of the set A.
- The number of permutations of a set with n elements is given by n! (n factorial).
- Therefore, the number of bijective functions from set A to itself is 106!.
Final Answer:
- The number of bijective functions from set A to itself, where A contains 106 elements, is 106!.
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Find the number of bijective functions from set A to itself when A contains 106 elements.a)106b)1062c)106!d)2106Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Find the number of bijective functions from set A to itself when A contains 106 elements.a)106b)1062c)106!d)2106Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the number of bijective functions from set A to itself when A contains 106 elements.a)106b)1062c)106!d)2106Correct answer is option 'D'. Can you explain this answer?.
Find the number of bijective functions from set A to itself when A contains 106 elements.a)106b)1062c)106!d)2106Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Find the number of bijective functions from set A to itself when A contains 106 elements.a)106b)1062c)106!d)2106Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the number of bijective functions from set A to itself when A contains 106 elements.a)106b)1062c)106!d)2106Correct answer is option 'D'. Can you explain this answer?.
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