Let \[R=\left\{ \left( 1,\text{ }3 \right),\left( 4,\text{ }2 \right),\left( 2,3 \right),\left( 3,\text{ }1 \right) \right\}\]be a relation on the set \[A=\left\{ 1,2,3,4 \right\}\]. The relation R is
Let \[f\,\,(x)\,\,\left\{ \begin{align} & {{x}^{n}}\sin \frac{1}{x} \\ & \,\,\,\,\,\,\,\,\,\,\,0, \\ \end{align} \right.\,\,\,\,\]\[\begin{align} & x\ne 0 \\ & x\,\,\,=0 \\ \end{align}\]Then, f is continuous but not differentiable at \[x=0\]f
A car is parked by an owner amongst 25 cars in a row, not at either end. On his return he finds that exactly 15 places are still occupied. The probability that both the neigh bouring places are empty is
N characters of information are held on magnetic tape, in batches of x characters each, the batch processing time is \[\alpha +\beta {{x}^{2}}\] seconds, a and p are constants. The optical value of x for fast processing is,
Consider the following statements. Assertion : If , then \[adj(adjA)=A\] Reason (R) : \[\left| \,\,adj\left( adj\,\,\,A \right)\,\, \right|={{\left| \,\,A\,\, \right|}^{{{\left( n-1 \right)}^{2}}}}\] A be n rowed non singular matrix. Then, which of the following is correct?
A)
Both A and R are true and R is the correct explanation of A.
doneclear
B)
Both A and R are true but R is not the correct explanation of A.
Three letters are written to three different persons and addresses on the three envelopes are also written. Without looking at the addresses, the letters are kept in these envelopes. The probability that all the letters are not placed into their right envelopes is