Find the number of different ways in which the 10 letters of the word SHOPKEEPER can be arranged so that all 3 Es are together.
Find the number of different ways in which the 10 letters of the word SHOPKEEPER can be arranged so that the Ps are not next to each other.
Find the probability that a randomly chosen arrangement of the 10 letters of the word SHOPKEEPER has an E at the beginning and an E at the end.
Four letters are selected from the 10 letters of the word SHOPKEEPER.
Find the number of different selections if the four letters include exactly one P .
If you use the following lined page to complete the answer(s) to any question(s), the question number(s) must be clearly shown.