MCQ Permutation and Combination for Competitive Exam – Quantitative Aptitude 1. How many Permutations of the letters of the word APPLE are there?60600120240Question 1 of 202. In how many ways can 10 examination papers be arranged so that the best and the worst papers never come together?7 × 9!8 × 9!8 × 8!9 × 8!Question 2 of 203. Three gentlemen and three ladies are candidates for two vacancies. A voter has to vote for two candidates. In how many ways can one cast his vote?1593036Question 3 of 204. A question paper has two parts, A and B, each containing 10 questions. If a student has to choose 8 from part A and 5 from part B, in how many ways can he choose the questions?401134012750320Question 4 of 205. Find the number of triangles which can be formed by joining the angular points of a polygon of 8 sides as vertices.8562416Question 5 of 206. There are 10 points in a plane out of which 4 are collinear. Find the number of triangles formed by the points as vertices.14012011620Question 6 of 207. In a party every person shakes hands with every other person. If there are 105 hands shakes, find the number of person in the party.25151421Question 7 of 208. In how many ways can six different rings be worn on four fingers of one hand?40962416360Question 8 of 209. There are 7 non-collinear points. How many triangles can be drawn by joining these points?835107Question 9 of 2010. From 6 men and 4 ladies, a committee of 5 is to be formed. In how many ways can this be done, if the committee is to include at least one lady?290246340315Question 10 of 2011. In a hockey championship, there are 153 matches played. Every two team played one match with each other. The number of teams participating in the championship is:16181917Question 11 of 2012. Out of eight crew members three particular members can sit only on the left side. Another two particular members can sit only on the right side. Find the number of ways in which the crew can be arranged so that four men can sit on each side.1728864863865Question 12 of 2013. How many diagonals can be drawn in a pentagon?75108Question 13 of 2014. There are five women and six men in a group. From this group a committee of 4 is to be chosen. How many different ways can a committee be formed that contain three women and one man?192556025Question 14 of 2015. Find the total number of distinct vehicle numbers that can be formed using two letters followed by two numbers. Letters need to be distinct.70000600006500075000Question 15 of 2016. A teacher of 6 students takes 2 of his students at a time to a zoo as often as he can, without taking the same pair of children together more than once. How many times does the teacher go to the zoo?15101220Question 16 of 2017. A committee is to be formed comprising 7 members such that there is a simple majority of men and at least 1 woman. The shortlist consists of 9 men and 6 women. In how many ways can this committee be formed?3824491436303724Question 17 of 2018. How many alphabets need to be there in a language if one were to make 1 million distinct 3 digit initials using the alphabets of the language?26100501000Question 18 of 2019. How many 5-digit positive integers exist the sum of whose digits are odd?90000360003800045000Question 19 of 2020. In a hockey championship, there are 153 matches played. Every two team played one match with each other. The number of teams participating in the championship is:18161719Question 20 of 20 Loading...
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