Recent questions in Engineering Mathematics

#3061
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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 ... $\binom{5}{5}* \binom{10}{4}*\binom{2}{2}$
#3062
702
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1 answers
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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________.
#3063
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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
#3064
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Is it possible that a disconnected graph be an Euler graph ?
#3065
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Good MorningI am preparing Engineering Mathematics now and as the time is less, does proofs matters to learn?Thank you in Advance
#3066
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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
#3067
352
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1 votes
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.
#3068
464
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1 votes
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.
#3069
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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.
#3070
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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)$ $I=\int_{0}^{\infty}x^{\frac{1}{4}}.e^{-\sqrt{x}}dx$
#3071
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#3072
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please give me some example which can disapprove 2nd statement
#3073
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#3074
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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 ... $B)6$ $C)7$ $D)8$
#3075
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2 votes
∀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 ?
#3076
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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.
#3077
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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
#3078
176
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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 $Both R_1 and R_2$
#3079
627
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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
#3080
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1 votes
https://gateoverflow.in/33989/how-to-solve-below-recurrence-relation