
A minibus has 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:

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



Important Questions on Permutations and Combinations
Find the number of ways in which five apples can be selected from:
eight apples

Find the number of ways in which five apples can be selected from:
nine apples and oranges.

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

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

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


Five cards are drawn from a deck of cards.
How many of them consist of three of the red cards and two of the black cards?

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