Selection with type constraints

A question is this type if and only if it asks for the number of ways to select items with constraints on how many of each type (e.g., 'at least one M and exactly one E').

1 questions

CAIE S1 2012 June Q3
3
  1. In how many ways can all 9 letters of the word TELEPHONE be arranged in a line if the letters P and L must be at the ends? How many different selections of 4 letters can be made from the 9 letters of the word TELEPHONE if
  2. there are no Es,
  3. there is exactly 1 E ,
  4. there are no restrictions?