EASY
AS and A Level
IMPORTANT
Earn 100

Find how many numbers there are between 100 and 999 in which all three digits are different.

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Important Questions on Permutations and Combinations

EASY
AS and A Level
IMPORTANT
Of the numbers between 100 and 999 in which all three digits are different. Find how many of the numbers are odd numbers greater than 700.
EASY
AS and A Level
IMPORTANT
A bunch of flowers consists of a mixture of roses, tulips and daffodils. Tom orders a bunch of 7 flowers from a shop to give to a friend. There must be at least 2 of each type of flower. The shop has 6 roses, 5 tulips and 4 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, 2 identical cans of green tea and 2 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, 2 identical cans of green tea and 2 identical cans of orange juice are arranged in a row. Calculate the number of arrangements if

the 3 cans of cola are all next to each other and the 2 cans of green tea are not next to each other.