# Permutation and Combination35

###### A team of 8 students goes on an excursion, in two cars, of which one can seat 5 and the other only 4. In how many ways can they travel? A. 124 B. 126 C. 128 D. 130
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###### In how many ways can 5 different toys be packed in 3 identical boxes such that no box is empty, if any of the boxes may hold all of the toys? A. 20 B. 25 C. 30 D. 35
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###### There are three prizes to be distributed among five students. If no students gets more than one prize, then this can be done in: A. 10 ways B. 20 ways C. 40 ways D. 60 ways
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###### 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? A. 55 B. 60 C. 65 D. 70
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###### In an examination paper, there are two groups each containing 4 questions. A candidate is required to attempt 5 questions but not more than 3 questions from any group. In how many ways can 5 questions A. 24 B. 48 C. 96 D. 64
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###### 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 arrang A. 864 B. 865 C. 863 D. 1728
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###### 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 wa A. 209 B. 319 C. 219 D. 29295
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###### There are 7 non-collinear points. How many triangles can be drawn by joining these points? A. 35 B. 10 C. 8,10 D. 7
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###### 12 chairs are arranged in a row and are numbered 1 to 12. 4 men have to be seated in these chairs so that the chairs numbered 1 to 8 should be occupied and no two men occupy adjacent chairs. Find the A. 360 B. 384 C. 432 D. 470
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###### A class photograph has to be taken. The front row consists of 6 girls who are sitting. 20 boys are standing behind. The two corner positions are reserved for the 2 tallest boys. In how many ways can t A. 6! � 1440 B. 18! � 1440 C. 18! �2! � 1440 D. None of these
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###### Find the number of ways in which 8064 can be resolved as the product of two factors? A. 22 B. 24 C. 21 D. 20
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###### There are 10 person among whom two are brother. The total number of ways in which these persons can be seated around a round table so that exactly one person sit between the brothers , is equal to: A. 2!*7! B. 2!*8! C. 3!*7! D. 3!*8!
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###### 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. A. 15 B. 14 C. 21 D. 25
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###### There are 10 points in a plane out of which 4 are collinear. Find the number of triangles formed by the points as vertices. A. 120 B. 116 C. 140 D. 60
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###### 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? A. 9 B. 30 C. 36 D. 15
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###### A two member committee comprising of one male and one female member is to be constitute out of five males and three females. Amongst the females. Ms. A refuses to be a member of the committee in which A. 11 B. 12 C. 13 D. 14
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