Let S = {1,2,3, ....... , m}, m andgt;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? - EduRev Computer Science Engineering (CSE) Question

Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity

Open App

Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > Let S = {1,2,3, ....... , m}, m >3. Let X1...

Join the Discussion on the App

Let S = {1,2,3, ....... , m}, m >3. Let X₁ ...... X_n 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_j 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?

FREE This question is part of

Test: Sets- 1

Attempt Test

Attempt this Test

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]

View all questions of this test

View all answers Start learning for free

< Previous Question Next Question >

Explore Courses for Computer Science Engineering (CSE) exam

Similar Computer Science Engineering (CSE) Doubts

A subset S of set of numbers {2,3,4,5,6,7,8,9,10} is said to be good if has exactly 4 elements and their gcd=1, Then number of good subset is

View answer

Let f : A → B be an injective (one-to-on e) function.Define g : 2A → 2B as :g(C) = {f(x) | x ∈ C}, for all subsets C of A.Define h : 2B → 2A as :h(D) = {x | x ∈ A, f(x) ∈ D}, for all subsets D of B.Q.Which of the following statements is always true ?

View answer

In a C program, an array is declared as float A[2048]. Each array element is 4 Bytes in size, and the starting address of the array is 0x00000000. This program is run on a computer that has a direct mapped data cache of size 8 Kbytes, with block (lin e) size of 16 Bytes.a. Which elements of the array conflict with element A[0] in the data cache? Justify your answer briefly.b. If the program accesses the elements of this array one by one in reverse order i.e., starting with the last element and ending with the first element, how many data cache misses would occur? Justify your answer briefly. Assume that the data cache is initially empty and that no other data or instruction accesses are to be considered. Correct answer is '(

View answer

Consider the following elements:5, 12, 3, 15, 4, 6, 10These elements are inserted into the max heap tree using two different methods. In method 1, elements are inserted one by one into heap and heap property is maintained at every step. In method 2, first, these elements are stored into an almost complete binary tree and then the max-heapify function is executed on it. Now find the number of elements that have different index positions into two heaps generated from given two methods _________. Correct answer is '2'. Can you explain this answer?

View answer

Consider the following relation on subsets of the set S of integers between 1 and 2014. For two distinct subsets U and V of S we say U V if the minimum element in the symmetric difference of the two sets is in U. Consider the following two statements:S1: There is a subset of S that is larger than every other subset.S2: There is a subset of S that is smaller than every other subset.Q. Which one of the following is CORRECT?

View answer

Top Courses for Computer Science Engineering (CSE)View all

GATE Computer Science Engineering(CSE) 2025 Mock Test Series

Question Bank for GATE Computer Science Engineering

General Aptitude for GATE

Computer Networks

Programming and Data Structures

Top Courses for Computer Science Engineering (CSE)

View all

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?

Share with a Friend

Answer this doubt

Question Description
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?.

Solutions 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? in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE). Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free.

Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of 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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an ample number of questions to practice 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? tests, examples and also practice Computer Science Engineering (CSE) tests.

Explore Courses for Computer Science Engineering (CSE) exam