HKDSE (Hong Kong) · Mathematics Compulsory Part
Permutations, Combinations & Probability
6 practice questions, each with the answer and an explanation.
Practise Permutations, Combinations & Probability now
Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.
All 6 questions
- How many distinct 5-letter arrangements can be formed using all the letters in the word 'MATHS'?
- A bag contains 4 red balls and 6 blue balls. Two balls are drawn at random one after another without replacement. Find the probability that both balls are red.
- A committee of 4 students is to be selected from 6 boys and 5 girls. In how many ways can the committee be formed if it must contain at least 2 girls?
- Two fair 6-sided dice are rolled. Given that the sum of the numbers obtained is greater than , what is the probability that at least one die shows a ?
- Four boys and four girls are to be seated around a circular table. In how many different ways can they be arranged so that no two girls sit next to each other?
- The mean of a dataset is and its variance is . If each data point is transformed by , what are the new mean and the new standard deviation of…