Engineering Data Analysis (Statistics) - Chapter 1: Permutations and Combinations

Fundamental Principle of Counting
Permutation
Combination

Sample Problems:
Fundamental Principle of Counting
1:35-4:57 How many 4-digit numbers can be formed from the following digits: 1, 2, 3, 4, and 6? (if the numbers can be repeated)

5:20-8:00 How many 4-digit numbers can be formed from the following digits: 1, 2, 3, 4, and 6? (if the numbers canNOT be repeated)

8:34-9:30 Erin has 5 tops, 6 skirts, and 4 caps from which to choose and outfit. In how many ways can she select one top, one skirt, and one cap?

9:32-12:50 The standard four-wheel vehicle plates in the Philippines contains 3 letters followed by four digits. How many possible plates can be made using this format?

Permutation
13:42-18:25 Jim has 6 different books. Find the number of orders in which the 6 books can be arranged on a shelf.

18:38-20:41 If the shelf has room for only 3 books, find the number of ways 3 of the books can be arranged.

20:56-22:18 If no letter can be used more than once, how many permutations of the first three letters of the alphabet?

22:19-22:47 How many permutations for the first 5 letters taken 3 at a time?

Permutation (with Identical Elements)
22:48-27:12 In how many ways can you arranged the letters from the word "MISSISSIPPI"

27:13-29:40 Find the largest number of permutations of the letters in "MATHEMATICS"

Circular Permutation
31:08-36:27 At a dinner party, 6 men and 6 women sit at a round table. How many ways can they sit if:
a) There are no restrictions
b) Men and women alternate
c) Ted and Carol must sit together
d) Bob, Ted, and Carol must sit together

Combination
37:15-38:39 Mary wants to join a book club that offers a choice of 10 new books each month. If Mary wants to buy 2 books, find the number of different pairs she can buy.

38:40-39:21 Mary wants to join a book club that offers a choice of 10 new books each month. If Mary wants 7 books, how many sets can she can buy.

39:22-40:26 A group of 12 people are forming a committee. How many different 4-person committees can be formed?