Permutations and Combinations
GCE Further Mathematics
11 Permutations and Combinations practice questions covering everything you need for GCE.
Drill Permutations and Combinations →Sample Permutations and Combinations questions
A committee of 5 people is to be chosen from 6 men and 4 women. (a) In how many ways can the committee be selected if there are no restrictions? [3 marks] (b) In how many ways can the committee be sel…
The letters of the word DISTINCTION are to be arranged. (a) How many different arrangements of all the letters are possible? [4 marks] (b) How many of these arrangements begin and end with the letter …
Find the value of $^{10}P_3$.
In how many ways can the letters of the word COMMITTEE be arranged?
A student is to answer 8 out of 12 questions in an examination. In how many ways can the student make the selection if questions 1 and 2 must both be answered?
In how many ways can the letters of the word LAGOS be arranged?
How many 4-digit numbers greater than 4000 can be formed using the digits 2, 3, 4, 5, 6 if repetition is not allowed?
A bag contains 5 red balls and 4 blue balls. In how many ways can 3 balls be selected so that at least 2 are red?
Eight people are to be seated at a round table. In how many distinct ways can they be arranged?
How many 4-digit numbers greater than 4000 can be formed using the digits 2, 3, 4, 5, 6 if repetition is not allowed?
How many ways can a committee of 3 be chosen from 8 people?