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Let S = {1,2,3, ....... , m}, m >3. Let X1 ...... Xn be subset of S each of size 3. Define a function f from S to the set of atural numbers as, f(i) is the number of sets X that contain the element i. That is  
  • a)
    3m
  • b)
    3n
  • c)
    2m + 1
  • d)
    2n + 1
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Let S = {1,2,3, ....... , m}, m >3. Let X1...... Xnbe subset of S e...
First of all, number of subsets of S of size 3 is mC3 i.e. n=mC3. Now we count number of subsets in which a particular element i appears, that will be (m−1)C2, because 1 element is already known, and we have to choose 2 elements from remaining m-1 elements. [Tex]sumlimits_{i=1}^{m} f(i) = m * ^{m-1}mathrm{C}_2 = 3 * ^mmathrm{C}_3 = 3n[/Tex]
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Let S = {1,2,3, ....... , m}, m >3. Let X1...... Xnbe subset of S each of size 3. Define a function f from S to the set of atural numbers as, f(i) is the number of sets Xjthat contain the element i. That is a)3mb)3nc)2m + 1d)2n + 1Correct answer is option 'B'. Can you explain this answer?
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Let S = {1,2,3, ....... , m}, m >3. Let X1...... Xnbe subset of S each of size 3. Define a function f from S to the set of atural numbers as, f(i) is the number of sets Xjthat contain the element i. That is a)3mb)3nc)2m + 1d)2n + 1Correct answer is option 'B'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Let S = {1,2,3, ....... , m}, m >3. Let X1...... Xnbe subset of S each of size 3. Define a function f from S to the set of atural numbers as, f(i) is the number of sets Xjthat contain the element i. That is a)3mb)3nc)2m + 1d)2n + 1Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let S = {1,2,3, ....... , m}, m >3. Let X1...... Xnbe subset of S each of size 3. Define a function f from S to the set of atural numbers as, f(i) is the number of sets Xjthat contain the element i. That is a)3mb)3nc)2m + 1d)2n + 1Correct answer is option 'B'. Can you explain this answer?.
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