If the mean of the numbers 0, (x+2), (3x+6), and (4x+8) is 4, find their mean deviation.

In how many ways can the word MATHEMATICS be arranged?

If U = {x : x is an integer and 1 \(\leq\) x \(\leq\) 20}
E1 = {x : x is a multiple of 3}
E2 = {x : x is a multiple of 4}
and an integer is picked at random from U, find the probability that it is not in E2