How many ways can four people be arranged in a straight line?
How many different arrangements are there of the letters in the word ZAMBONI ?
How many different arrangements are there of the letters in the word ROLLER ?
5 people are lined up for a 1000 meter race. Determine the number of different ways the first and second positions can be assigned.
You disconnect the thermostat from your furnace but neglect to jot down how the wires connect to it. There are three wires coming from the wall (red, black, and white) but four terminals on the thermostat. How many different ways can the wires be connected?
How many arrangements are there of the letters in FERMAT if you use all the letters but each arrangement must end in a vowel?
For security, an e-mail program requires you to have a ten-character password adn change it every three weeks. You like your current password, XXQWERTYZZ, because it is relatively easy to remember and type in. At the very least, you would like to keep the same letters when you change your password, How many different passwords can be created using your letters while keeping QWERTY together.
A basketball team is lining up for a team photo. There are eight players and two coaches. How many ways can they be arranged in a straight line if the two coaches must be beside each other?