EASY
AS and A Level
IMPORTANT
Earn 100

A minibus has 11 passenger seats. There are six seats in a row on the sunny side and five seats in a row on the shady side, as shown in the following diagram.

Find how many ways eight passengers can be arranged in these seats if:

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two particular passengers refuse to sit in seats that are either next to each other or one directly in front of the other.

50% studentsanswered this correctly

Important Questions on Permutations and Combinations

EASY
AS and A Level
IMPORTANT

Find the number of ways in which five apples can be selected from:

eight apples

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AS and A Level
IMPORTANT

Find the number of ways in which five apples can be selected from:

nine apples and 12 oranges.

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AS and A Level
IMPORTANT

From seven men and eight women, find how many ways there are to select:

four men and five women

EASY
AS and A Level
IMPORTANT

From seven men and eight women, find how many ways there are to select:

three men and six women

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AS and A Level
IMPORTANT

From seven men and eight women, find how many ways there are to select:

 at least 13 people.

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IMPORTANT
How many different hands of five cards can be dealt from a standard deck of 52 playing cards?
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AS and A Level
IMPORTANT

Five cards are drawn from a deck of 52 cards.

How many of them consist of three of the 26 red cards and two of the 26 black cards?

EASY
AS and A Level
IMPORTANT

From the 26 letters of the English alphabet, find how many ways there are to choose:

six different letters