Let $\mathrm{y}$ be an element of the set $\mathrm{A}=\left\{1,\mathrm{ }2,\mathrm{ }3,\mathrm{ }5,\mathrm{ }6,\mathrm{ }10,\mathrm{ }15,\mathrm{ }30\right\}$ and ${\mathrm{x}}_1,\mathrm{ }{\mathrm{x}}_2,\mathrm{ }{\mathrm{x}}_3$ be integers such that ${\mathrm{x}}_{1\mathrm{ }}{\mathrm{x}}_{2\mathrm{ }}{\mathrm{x}}_3=\mathrm{y}$ , then the number of positive integral solutions of ${\mathrm{x}}_1\mathrm{ }{\mathrm{x}}_2\mathrm{ }{\mathrm{x}}_3=\mathrm{y}$ is

In how many ways the letters of word 'MACHINE' can be arranged so that vowels will always be together?

How many numbers of four digits can be made by using the digits $3, 5, 6, 7,$ and $9$?  (Repetition of digits is not allowed)

If the number of all possible permutations of the letters of the word $MATHEMATICS$ in which the repeated letters are not together is $90\left(X\right)$, then $X=$