Recent questions tagged drdocse-2022-paper1

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Consider rolling of a dice experiment. Let $\text{A}$ be the event of getting an even number and $\mathrm{B}$ be the event of getting a prime number. Write the sets repre...
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Consider the following graph.How many nodes (apart from $s$) does the Depth First Search algorithm discover before discovering $t$ when starting from $s.$
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Provide the correct data structures for the following:Asynchronous data transfer and accessing shared resource involve _________.
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Calculate the eigenvalues of matrix $M, M^{-1}, M^{2}$ and $M+2 I$ where\[M=\left[\begin{array}{cc}4 & 5 \\2 & -5\end{array}\right].\]
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With no unique solution, solve for $n$ with the following system of equations$$\begin{array}{r}a+b+2 c=3 \\a+2 b+3 c=4 \\a+4 b+n c=6\end{array}$$
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Given a tree $\text{T}$ and $\lambda \geq 2$ colours $\left(c_{1}, c_{2}, \ldots, c_{\lambda}\right),$ how many proper colourings of the tree $\text{T}$ are possible?
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Given two propositions $P$ and $Q$. "if $P$ then $Q$" denoted by $P \rightarrow Q$ is called Implication. Such implication and its ____________ are logically equivalent.
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Derangements are permutations $\pi$ of the set $\{1,2, \ldots, n\}$ such that $\pi(i) \neq i.$ Compute the number of derangements on the set $1,2, \ldots, n$.
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Let us say we have a supply of $1$ rupee and $2$ rupee coins in large quantities. What is the generating function for the number of ways of giving change with $1$ rupee a...
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A gardener wants to buy $3$ neem plants, $5$ rose plants and $1$ banyan plant from a nursery having $7$ neem, $10$ rose and $6$ banyan plants. How many choices does a gar...
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How many minimum number of $\text{NOR}$ gates are required to implement the function $F=A^{\prime} B^{\prime} C^{\prime}+A B C^{\prime}$