EASY
AS and A Level
IMPORTANT
Earn 100

The word MARMALADE contains four vowels and five consonants. Find the number of possible arrangements of its nine letters if:

there are no restrictions on the order

50% studentsanswered this correctly

Important Questions on Permutations and Combinations

EASY
AS and A Level
IMPORTANT

The word MARMALADE contains four vowels and five consonants. Find the number of possible arrangements of its nine letters if:

the arrangement must begin with the four vowels.

EASY
AS and A Level
IMPORTANT

Five men, four children and two women are asked to stand in a queue at the post office. Find how many ways they can do this if:

the women must be separated

EASY
AS and A Level
IMPORTANT

Five men, four children and two women are asked to stand in a queue at the post office. Find how many ways they can do this if:

all of the children must be separated from each other.

EASY
AS and A Level
IMPORTANT
Find the probability that a randomly selected arrangement of all the letters in the word PALLETTE begins and ends with the same letter.
EASY
AS and A Level
IMPORTANT

Eight-digit mobile phone numbers issued by the Lemon Network all begin with 79.

How many different phone numbers can the network issue?

EASY
AS and A Level
IMPORTANT

Eight-digit mobile phone numbers issued by the Lemon Network all begin with 79.

Find the probability that a randomly selected number issued by this network:

ends with the digits 97

MEDIUM
AS and A Level
IMPORTANT

Eight-digit mobile phone numbers issued by the Lemon Network all begin with 79.

Find the probability that a randomly selected number issued by this network:

reads the same left to right as right to left.

EASY
AS and A Level
IMPORTANT
There are 12 books on a shelf. Five books are 15 cm tall; four are 20 cm tall and three are 25 cm tall. Find the number of ways that the books can be arranged on the shelf so that none of them is shorter than the book directly to its right.