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#3061
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made easy 2019
In how many ways can we choose a cricket team of 11 players out of 10 batsman,5 bowlers,2 keepers such that the team has atleast 4 bowlers?i am getting 4884;my approach ... $\binom{5}{5}* \binom{10}{4}*\binom{2}{2}$
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#3062
706
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1 answers
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functions
The number of ways possible to form injective function from set A set B where |A| = 3 and |B| = 5 such that $p^{th}$ element of set A cannot match with $p^{th}$ element of set B are________.
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#3063
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Intuition behind the independence of two set when probability of one set is 0
I learnt that if probability of an event is 0 then this is indepe​​​​​​ndent of all other events and mathematics also second that statement.Can anyone explain the intuition behind it
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#3064
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3 answers
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Doubt [Graph Theory]
Is it possible that a disconnected graph be an Euler graph ?
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#3065
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Are proofs important at this time while I am preparing Engineering Mathematics?
Good MorningI am preparing Engineering Mathematics now and as the time is less, does proofs matters to learn?Thank you in Advance
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#3066
285
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Lattice. stuck
Let $S = (0, 1)$ and define the partial order relation R on $S X S$ as follows:((a, b) R (c, d) if (a < c) $\wedge$ (a = ... but lattice $S_3$: R is complemented lattice.Which of the following statements is correct?Only s1Only s2Only s3
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#3067
355
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0 answers
1 votes
#poset #lattice
Let A = {$2^n | n$ is a positive integer}. A relation R on A is defined by $a^Rb$ $\iff$ a is a divisor of b.Then the set A with respect ... but not a distributive lattice(C) a distributive lattice but not bounded lattice (D) not a poset.
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#3068
470
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0 answers
1 votes
Preposition Logic. Stuck.
Which of the following is valid?(A) {~p, p $ \to $ q, q $\to$ r} $\implies$ ~r(B) {p $ \to $ q, q $\to$ r, r} $\implies$ p(C) { p $\to$ (q $\to$ r), (p $\wedge$ q)} $\implies$ rHow to proceed in such question.
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#3069
315
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0 answers
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Find if the given function is bijective or not.
Which of the following is a bijection on set of all real numbers.$(1)f(x) = x{^2} $(2)g(x) = |x|$(3)h(x) = \left \lfloor x \right \rfloor$(4)\phi(x)$ = $x^3$How to proceed in such questions.
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#3070
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self doubt
How to solve these questions$(1)$ $I=\int_{0}^{1}(xlogx)^{4}dx$(2)$ $I=\frac{1}{\sqrt{2\pi}}\int_{0}^{\infty}e^{\frac{-x^{2}}{8}}dx$(3)$ $I=\int_{0}^{\infty}x^{\frac{1}{4}}.e^{-\sqrt{x}}dx$
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#3071
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Made easy
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#3072
221
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Made easy
please give me some example which can disapprove 2nd statement
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#3073
282
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0 answers
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ME Test Series
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#3074
929
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Testbook Test Series: Probability - Probability
The probability of a shooter hitting the target is $\frac{1}{3}$ and three shots at the bull's eye are needed to win the game. What could be the least number of shots for the shooter to give ... $B)6$ $C)7$ $D)8$
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#3075
288
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0 answers
2 votes
Self Doubt
∀x(∀z(β)→∃y(¬α))⟹∀x(¬∀z(β)∨∃y(¬α))⟹¬∃x¬(¬∀z(β)∨∃y(¬α))⟹¬∃x(∀z(β)∧¬∃y(¬α))⟹¬∃x(∀z(β)∧∀y(α)) In the third line why 2 negations are used ?
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#3076
343
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0 answers
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Equivalence Relation
Consider the following relations:$R_1: ((a, b), (c, d)) belongs to R $ iff a + d = b + c$R_2: ((a, b), (c, d)) belongs R$ iff ad = bcWhich of the following is equivalence relation.
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#3077
751
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Functions
Consider the following function$ f(x) = \frac{x} {2x+1} $ $x \ne \frac{-1} {2}$Which of the flowing is true?A If f is defined for R → R then f is not ... defined for R → R then f is not ontoC If f is defined for R → R the f is bijection
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#3078
177
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0 answers
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Functions Question
Let f: A -> B be a function and S and T be subsets of B. Consider the following statements about image(range): $S_2$ ... Which of the following is equivalence relation?A $ Only R_1$B $Only R_2$C $Both R_1 and R_2$
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#3079
629
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0 answers
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Graph Theory
Consider G be a directed graph whose vertex set is a set number from 2 to 120. There is an edge from vertex a to vertex b if b = ... natural number. Then the number of connected components are___________.How to proceed with such questions
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#3080
226
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0 answers
1 votes
https://gateoverflow.in/33989/how-to-solve-below-recurrence-relation
https://gateoverflow.in/33989/how-to-solve-below-recurrence-relation
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