EduNinjaFind the number of different arrangements of the 8 letters in the word DECEIVED in which all three Es are together and the two Ds are together.
Find the number of different arrangements of the 8 letters in the word DECEIVED in which the three Es are not all together.
The 40 members of a club include Ranuf and Saed. All 40 members will travel to a concert. 35 members will travel in a coach and the other 5 will travel in a car. Ranuf will be in the coach and Saed will be in the car.
In how many ways can the members who will travel in the coach be chosen?
The 26 members of the local sports club include Mr and Mrs Khan and their son Abad. The club is holding a party to celebrate Abad's birthday, but there is only room for 20 people to attend.
In how many ways can the 20 people be chosen from the 26 members of the club, given that Mr and Mrs Khan and Abad must be included?
A bag contains 12 marbles, each of a different size. 8 of the marbles are red and 4 of the marbles are blue.
How many different selections of 5 marbles contain at least 4 marbles of the same colour?
How many different arrangements are there of the 8 letters in the word RELEASED?
How many different arrangements are there of the 8 letters in the word RELEASED in which the letters LED appear together in that order?
There are 6 men and 8 women in a Book Club. The committee of the club consists of five of its members. Mr Lan and Mrs Lan are members of the club.
In how many different ways can the committee be selected if exactly one of Mr Lan and Mrs Lan must be on the committee?
In how many different ways can the committee be selected if Mrs Lan must be on the committee and there must be more women than men on the committee?
A group of 6 people is to be chosen from 4 men and 11 women.
In how many different ways can a group of 6 be chosen if it must contain exactly 1 man?
Two of the 11 women are sisters Jane and Kate.
In how many different ways can a group of 6 be chosen if Jane and Kate cannot both be in the group?
Find the number of different arrangements that can be made from the 9 letters of the word JEWELLERY in which the three Es are together and the two Ls are together.
Find the number of different arrangements that can be made from the 9 letters of the word JEWELLERY in which the two Ls are not next to each other.
A committee of 6 people is to be chosen from 9 women and 5 men.
Find the number of ways in which the 6 people can be chosen if there must be more women than men on the committee.
The 9 women and 5 men include a sister and brother.
Find the number of ways in which the committee can be chosen if the sister and brother cannot both be on the committee.
Richard has 3 blue candles, 2 red candles and 6 green candles. The candles are identical apart from their colours. He arranges the 11 candles in a line.
Find the number of different arrangements of the 11 candles if there is a red candle at each end.
Find the number of different arrangements of the 11 candles if all the blue candles are together and the red candles are not together.