MCQ
Let $A$ be a set containing $10$ distinct elements. Then the total number of distinct functions from $A$ to $A$, is
- A$10\;!$
- ✓${10^{10}}$
- C${2^{10}}$
- D${2^{10}} - 1$
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$(A)$ $N ^{\top} M N$ is symmetric or skew symmetric, according as $M$ is symmetric or skew symmetric
$(B)$ $M N-N M$ is skew symmetric for all symmetric matrices $M$ and $N$
$(C)$ $M N$ is symetric for all symmetric matrices $M$ and $N$
$(D)$ $(\operatorname{adj} M)(\operatorname{adj} N)=\operatorname{adj}(M N)$ for all invertible matrices $M$ and $N$