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3 votes
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3642
kenneth rosen Ex2.4 Q.46
Show that the set of functions from the positive integers to the set {0,1,2,3,4,5,6,7,8,9} is uncountable.
Show that the set of functions from the positive integers to the set {0,1,2,3,4,5,6,7,8,9} is uncountable.
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1 votes
1 answer
3643
ISI MMA-2015
Let, $a_{n} \;=\; \left ( 1-\frac{1}{\sqrt{2}} \right ) ... \left ( 1- \frac{1}{\sqrt{n+1}} \right )$ , $n \geq 1$. Then $\lim_{n\rightarrow \infty } a_{n}$ (A) equals $1$ (B) does not exist (C) equals $\frac{1}{\sqrt{\pi }}$ (D) equals $0$
Let, $a_{n} \;=\; \left ( 1-\frac{1}{\sqrt{2}} \right ) ... \left ( 1- \frac{1}{\sqrt{n+1}} \right )$ , $n \geq 1$. Then $\lim_{n\rightarrow \infty } a_{n}$(A) equals $1$...
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3645
Kenneth Rosen Edition 6th Exercise 2.3 Question 36 (Page No. 147)
Let f be a function from the set A to the set B.Let S and T be subsets of A.Show that $f(S\cup T)=f(S)\cup f(T)$ $f(S\cap T)\subseteq f(S)\cap f(T)$ Show that inclusion in part b can be proper
Let f be a function from the set A to the set B.Let S and T be subsets of A.Show that$f(S\cup T)=f(S)\cup f(T)$$f(S\cap T)\subseteq f(S)\cap f(T)$Show that inclusion in p...
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0 votes
1 answer
3646
kenneth rosen Ex 2.3 Q.29,30
Justify the statements. 1. if f and f o g are one to one,does it follows that g is one to one. 2 if f and f o g are onto,does it follow that g is onto
Justify the statements.1. if f and f o g are one to one,does it follows that g is one to one.2 if f and f o g are onto,does it follow that g is onto
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1 votes
1 answer
3649
JEST Sample Question 1-a
Let a and b be positive integers such that a > b and a^ 2 − b^ 2 is a prime number. Then a^2 − b^ 2 is equal to (A) a − b (B) a + b (C) a × b (D) none of the above
Let a and b be positive integers such that a b and a^ 2 − b^ 2 is a prime number.Then a^2 − b^ 2 is equal to(A) a − b(B) a + b(C) a × b(D) none of the above
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3 votes
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3650
JEST Sample Question 1-b
When is the following statement true? (A ∪ B) ∩ C = A ∩ C (A) If Ā ∩ B ∩ C = φ (B) If A ∩ B ∩ C = φ (C) always (D) never
When is the following statement true? (A ∪ B) ∩ C = A ∩ C(A) If Ā ∩ B ∩ C = φ(B) If A ∩ B ∩ C = φ(C) always(D) never
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1 votes
1 answer
3651
JEST Sample Question 1-c
If a fair die (with 6 faces) is cast twice, what is the probability that the two numbers obtained differ by 2? (A) 1/12 (B) 1/6 (C) 2/9 (D) 1/2
If a fair die (with 6 faces) is cast twice, what is the probability that the twonumbers obtained differ by 2?(A) 1/12(B) 1/6(C) 2/9(D) 1/2
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1 votes
1 answer
3652
Jest Exam sample question-3
How many subsets of even cardinality does an n-element set have ? Justify answer. Please give a proof if possible.This is part of subjective JEST paper.
How many subsets of even cardinality does an n-element set have ? Justify answer.Please give a proof if possible.This is part of subjective JEST paper.
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0 votes
1 answer
3655
Permutation and Combination
The total number of ways in which 5 balls of different color can be distributed among 3 persons so that each person gets at least one ball is:
The total number of ways in which 5 balls of different color can be distributed among 3 persons so that each person gets at least one ball is:
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1 votes
1 answer
3656
A family has two children. Given that one of the children is a boy, what is the probability that both children are boys?
I was doing this question using conditional probability formula.... i.e P(2/1)=? Probability of 2nd child to be boy given that 1st child is a boy. By formula, P(2/1)=P(2,...
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0 votes
1 answer
3659
query
Can someone provide me with the names of good resources for continuous random variable?
Can someone provide me with the names of good resources for continuous random variable?
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0 votes
1 answer
3660
Gate CS 2019
S1=Matrix is Invertible S2=Determinant of matrix is Non-zero What is the Answer..
S1=Matrix is InvertibleS2=Determinant of matrix is Non-zero What is the Answer..
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