3 men are standing in front of 4 cabins. In how many ways can they enter the cabins?
There are 3 trains between two stations A and B. In how many ways can a student go from A to B and return by a different train?
There are 5 trains between two stations A and B. In how many ways can a student go from A to B and return by a different train?
The letters of the word 'PICTURE' have to be arranged such that the vowels come together. How many different ways are possible?
This word has 7 letters, out of which 4 are consonants and 3 are vowels. The vowels have to occupy three contiguous positions. This triad can be arranged in 3! ways like this: we can place 3 vowels in first place, 2 in second place and 1 in the third place, giving 3 × 2 × 1 = 6 permutations. Next, we have to arrange the 4 consonants and the triad treated as one letter, giving 5! = 120 possibilities. So the total possibilities are 6 × 120 = 720.
Section A of an exam has 3 questions, B has 6 questions and C has 4 questions. In how many ways can a student attempt the paper if he has to select one question from each of these sections?
This Blog Post/Article "Permutations and Combinations Quiz Set 009" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-04-07.