EASY
AS and A Level
IMPORTANT
Earn 100

Six books are randomly given to two girls so that each receives at least one book. Are both girls more likely to receive an odd number or an even number of books. Give a reason for your answer.

Important Questions on Cross-Topic Review Exercise 2

EASY
AS and A Level
IMPORTANT
The 60 members of a ballroom dance society wish to participate in a competition but the coach that has been hired has seats for only 57 people. In how many ways can 57 members be selected if the society's president and vice president must be included?
EASY
AS and A Level
IMPORTANT

Four discs in two colours and in four sizes are placed in any order on either of two sticks. The following illustration shows one possible arrangement of the four discs.

Question Image

Find the number of ways in which the four discs can be arranged so that they are all on the same stick.

EASY
AS and A Level
IMPORTANT

Four discs in two colours and in four sizes are placed in any order on either of two sticks. The following illustration shows one possible arrangement of the four discs.

Question Image

Find the number of ways in which the four discs can be arranged so that there are two discs on each stick.

MEDIUM
AS and A Level
IMPORTANT

Four dises in two colours and in four sizes are placed in any order on either of two sticks. The following illustration shows one possible arrangement of the four discs.

Question Image

In how many ways can the discs be placed if there are no restrictions?

EASY
AS and A Level
IMPORTANT

A fair triangular spinner with sides numbered 1, 2 and 3 is spun three times and the numbers that it comes to rest on are written down from left to right to form a three-digit number. How many possible three-digit numbers are there.

EASY
AS and A Level
IMPORTANT

A fair triangular spinner with sides numbered 1, 2 and 3 is spun three times and the numbers that it comes to rest on are written down from left to right to form a three-digit number.

Find the probability that the three-digit number is even

MEDIUM
AS and A Level
IMPORTANT

A fair triangular spinner with sides numbered 1, 2 and 3 is spun three times and the numbers that it comes to rest on are written down from left to right to form a three-digit number.

Find the probability that the three-digit number is odd and greater than 200.

EASY
AS and A Level
IMPORTANT
A book of poetry contains seven poems, three of which are illustrated. In how many different orders can all the poems be read if no two illustrated poems are read one after the other?