Download the latest MCQs with answers about Permutation and Combination Problems for PPSC, FPSC, NTS, PMS, CSS, SPSC, and KPKPSC exam
Permutation and combination are two important concepts in quantitative aptitude that are frequently tested in competitive exams. The permutation is the arrangement of a set of objects in a specific order, while the combination is a selection of a subset of objects from a larger set.
Here are some examples of permutation and combination problems:
- Permutation: A group of 5 students is to be arranged in a row. In how many ways can this be done?
- Combination: A committee of 3 people is to be selected from a group of 5 people. In how many ways can this be done?
- A bag contains 3 red balls, 2 blue balls, and 1 green ball. In how many ways can 2 balls be selected from the bag?
To solve permutation and combination problems, you can use the permutation formula or the combination formula. The permutation formula is used to calculate the number of permutations of a set of objects, while the combination formula is used to calculate the number of combinations of a set of objects.
Here are the formulas for permutation and combination:
Permutation formula:
where n is the number of objects in the set and r is the number of objects that are being arranged.
Combination formula:
nCn = 1
nC1 = n
nC2 = n(n - 1) / 2
where n is the number of objects in the set and r is the number of objects that are being selected.
Tips for solving permutation and combination problems
- Remember that order matters in permutations, but not in combinations.
- Use the permutation formula or the combination formula to calculate the number of permutations or combinations.
- Practice, practice, practice! The best way to improve your ability to solve permutation and combination problems is to practice regularly. There are many other file on Permutation and Combination MCQs available that can help you with this.
