In how many ways can 8 prizes be given to 4 students if each of them is equally eligible?
How many 4 digit numbers can be formed with a given set of 7 distinct digits?
2 men are standing in front of 3 cabins. In how many ways can they enter the cabins?
There are 7 trains between two stations A and B. In how many ways can a student go from A to B and return by any of the available trains?
The letters of the word 'JUPITER' 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.
This Blog Post/Article "Permutations and Combinations Quiz Set 015" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2020-02-07. Published on: 2016-05-08