How many 6 digit numbers ending in 0 can be formed with a given set of 6 distinct digits none of which is 0? Repetition of digits is not allowed.
In how many ways can 5 prizes be given to 2 students if each of them is equally eligible?
What is the value of 7C2?
In how many ways can a secretary and general secretary be chosen from a committee of 19 members?
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.
This Blog Post/Article "Permutations and Combinations Quiz Set 020" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-10-26.