Permutation

How many sample points are there in the sample space when a pair of dice is thrown once?

• 6

• 12

• 24

• 36

If two dice are thrown, in how many ways can the sum of 5 come out?

• 4 ways

• 6 ways

• 8 ways

• 10 ways

Find the number of different possible plate numbers if each one is to consist of two letters of the English alphabet followed by four digits; the first digit may not be zero and no repetitions of numbers or letters are permitted?

• 2,984,400 different possible plate numbers

• 2,948,400 different possible plate numbers

• 2,498,400 different possible plate numbers

• 2,489,400 different possible plate numbers

From the word “FORGIVE” how many letter arrangements are possible given the following condition: all vowels and consonants are together.

• 144 letter arrangements

• 256 letter arrangements

• 288 letter arrangements

• 324 letter arrangements

Siopao is going to assemble a computer by himself. He has the choice of chips from two brands, a hard drive from four, memory from three, and an accessory bundle from five local stores. How many different ways can Siopao order the parts?

• 60 different ways to order the parts.

• 120 different ways to order the parts.

• 144 different ways to order the parts.

• 180 different ways to order the parts.

How many even four-digit numbers can be formed from the digits 0, 1, 2, 5, 6, and 9 if each digit can be used only once?

• 60

• 96

• 156

• 312

In a college football training session, the defensive coordinator needs to have 10 players standing in a row. Among these 10 players, there are 1 freshman, 2 sophomores, 4 juniors, and 3 seniors. How many different ways can they be arranged in a row if only their class level will be distinguished?

• 12,600

• 10,200

• 8,400

• 6,200

How many different letter arrangements can be made from the letters in the word STATISTICS?

• 100,800

• 50,400

• 25,200

• 12,600

Mr. Stan Lee has a collection of 20 true-false questions and wishes to choose 5 of them for a quiz. How many quizzes can be made if the order of the questions is important?

• 1,864,800 permutations

• 1,860,840 permutations

• 1,864,080 permutations

• 1,860,480 permutations

How many ways can 9 different color beads be arranged on a bracelet?

• 40,320 ways

• 362,880 ways

• 20,160 ways

• 360,360 ways