Practice with Permutations

1. Evaluate 4! (Answer)

2. Evaluate ₉P₃(Answer)

3. Evaluate 0! (Answer)

4. Evaluate 6! (Answer) ₆P₂

5. How many different 5-letter arrangements are there of the letters in
the word digit ? (Answer)

            6. If a three digit number is formed from the digits 1,2,3,4,5,6, and 7,
                with no repetitions, tell how many of these three digit numbers will
                 have a number value between 100 and 500.       (Answer)

7. If the letters in the word TRIANGLE are rearranged at random,
find the probability that the first letter is an A. (Answer)

            8. Two cards are drawn at random from a standard deck of 52 cards,
                 without replacement. What is the probability of drawing a   7 and
                 a king   in that order?           (Answer)

            9. Throughout history, many people have contributed to the development
                 of mathematics. These mathematicians include Pythagoras, Euclid,
                 Hypatia, Euler, Einstein, Agnesi, Fibonacci, and Pascal. What is the
                probability that a mathematician’s name selected at random from
                 those listed will start with either the letter E or the letter A?

Choose: