In how many ways can the letters of the word "COMPUTER" be arranged so that
i) all vowels are
always together?
ii) the relative positions of the vowels and
consonants are not changed?

Abox contains 1 plain pencil and 4 pens. a second box contains 5 color pencils and 5 crayons. one item from each box is chosen at random. what is the probability that a plain pencil from the first box and a color pencil from the second box are selected? write your answer as a fraction in simplest form.

Which one ? is the answer and how to find this answer

The function show two sisters' savings account and the rate at which they plan to deposit money