EASY
AS and A Level
IMPORTANT
Earn 100
Three ordinary fair dice are rolled. Find the number of ways in which the number rolled with the first die can exceed the sum of the numbers rolled with the second and third dice. Hence, find the probability that this event does not occur in two successive rolls of the three dice.
Important Questions on Permutations and Combinations
EASY
AS and A Level
IMPORTANT
How many even four-digit numbers can be made from the digits and each used at most once, when the first digit cannot be zero?
EASY
AS and A Level
IMPORTANT
Find how many numbers there are between and in which all three digits are different.
EASY
AS and A Level
IMPORTANT
Of the numbers between and in which all three digits are different. Find how many of the numbers are odd numbers greater than
EASY
AS and A Level
IMPORTANT
A bunch of flowers consists of a mixture of roses, tulips and daffodils. Tom orders a bunch of flowers from a shop to give to a friend. There must be at least of each type of flower. The shop has roses, tulips and daffodils, all different from each other. Find the number of different bunches of flowers that are possible.
EASY
AS and A Level
IMPORTANT
Three identical cans of cola, identical cans of green tea and identical cans of orange juice are arranged in a row. Calculate the number of arrangements if
the first and last cans in the row are the same type of drink,
EASY
AS and A Level
IMPORTANT
Three identical cans of cola, identical cans of green tea and identical cans of orange juice are arranged in a row. Calculate the number of arrangements if
the cans of cola are all next to each other and the cans of green tea are not next to each other.
