Permutations and combination quiz

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

Calculate the number of arrangements of the letters in the word NUMBER if it does not begin or end with a vowel or both.

Answer explanation

6! - 2x5! - 2x5!

Calculate the number of arrangements of the letters in the word NUMBER if it does not begin and end with a vowel

Answer explanation

6! - (2x4!)

A team of 5 people, which must contain 3 men and 2 women, is chosen from 8 men and 7 women. How many different teams can be selected?

From a group of 30 boys and 32 girls, two girls and two boys are to be chosen to represent their school. How many possible selections are there?

• 215760

• 245760

• 245720

• 215260

Answer explanation

30C2 x 32C2

In a game of bridge the pack of 52 cards is shared equally between all four players. What is the probability that one particular player has no hearts? (Answer is in 3sf)

• 0.0127

• 0.0126

• 0.0128

• 0.0125

Answer explanation

39C13 / 52C13

A group of 12 people consisting of 6 married couples is arranged at random in a line for a photograph. Find the probability that each wife is standing next to her husband

Four letters are to be selected from the letters in the word RIGIDITY. How many different combinations are there?

• 24

• 30

• 36

• 40

Answer explanation

Look at 4 cases involving I

case 1: No I -> 5C4

case 2: 1 I -> 5C3

case 3: 2 I -> 5C2

case 4: 3 I -> 5C1

Add all

Find the number of ways of arranging 6 women and 3 men to stand in a row so that all 3 men are standing together.

• 6! x 3!

• 7 x 6!

• 7! x 3!

• 6 x 3!

Find the number of ways of arranging 6 women and 3 men in a row so that no two men are standing next to one another.

• 362880

• 5040

• 151200

• 35280