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Permutation and Combination MCQs

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Practice free Permutation and Combination multiple-choice questions with instant answer feedback and step-by-step solutions. Click an option to check yourself, reveal the full explanation, and work through all 185 questions — no login required.

Question 28easy
In how many ways can six different rings be worn on four fingers of one hand?
Question 29medium
There are 7 non-collinear points. How many triangles can be drawn by joining these points?
Question 30medium
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?
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Question 31hard
A question paper consists of three sections 4,5 and 6 questions respectively. Attempting one question from each section is compulsory but a candidate need not attempt all the questions. In how many ways can a candidate attempt the questions?
Question 32easy
In how many ways a President, VP and Water-boy can be selected from a group of 10 people.
Question 33easy
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:
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Question 34medium
A box contains 10 balls out of which 3 are red and rest are blue. In how many ways can a random sample of 6 balls be drawn from the bag so that at the most 2 red balls are included in the sample and no sample has all the 6 balls of the same colour?
Question 35easy
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.
Question 36medium
A man positioned at the origin of the coordinate system. the man can take steps of unit measure in the direction North, East, West or South. Find the number of ways of he can reach the point (5,6), covering the shortest possible distance.