Two girls and four boys are seated in a row.
How many ways can they be arranged if both girls sit together?
A student taking a course has to choose 4 novels from a list of 11 novels.
How many different selections of the 4 novels are possible?
Jane must choose 5 subjects from a list of 11 subjects.
The list includes History and Geography.
How many different combinations are possible if Jane wishes to choose Geography but not History?
Five people, including Mary and John, sit in a row.
In how many ways can it be arranged that Mary and John do not sit next to each other?
each other?
How many different selections of three letters can be made from
the letters of the word DUBLIN ?
How many different teams of 3 people can be chosen from a panel of
7 boys and 6 girls if each team has to have more girls than boys?
The password for a mobile phone consists of four digits.
The first digit cannot be zero.
How many of these passwords are even numbers?
For a lottery, 36 cards numbered 1 to 36 are placed in a drum.
Six cards will be chosen at random from the drum as the winning combination.
How many of all the possible combinations will match exactly four
numbers with the winning combination?
How many five-digit numbers can be formed from the digits 1, 2, 3, 4, 5, 6, 7 if the five digits are all different?
A committee of five is to be selected from seven students and two teachers.
How many of these committees have at least one teacher?