5 men are standing in front of 7 cabins. In how many ways can they enter the cabins?
In how many ways can a secretary and general secretary be chosen from a committee of 17 members?
How many 5 digit numbers ending in 0 can be formed with a given set of 5 distinct digits none of which is 0? Repetition of digits is not allowed.
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.
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 any of the available trains?
This Blog Post/Article "Permutations and Combinations Quiz Set 011" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-05-17.