Permutations and Combinations
Question: A two number committee comprising of one male and the female number is to be constituted out of five male and 3 females. Amongst the females, Ms. A refused to be number committee in which Mr.B is taken as the number of how many different ways can the comm
- 1. 11
- 2. 30
- 3. 14
- 4. 20
Question: A selection is to be made for one post of principal and two posts of vice-principal amongst the six candidates called for the interview only two are eligible for the post of principal while they all are eligible for the post of vice-principal. The number
- 1. 4
- 2. 12
- 3. 18
- 4. None of these
Question: A student has to opt for 2 subjects out of 5 subjects for a course. Namely commerce, economics, statistics, mathematics 1 and Mathematics 2, Mathematics 2 can be offered only if mathematics 1 has also opted. The number of different combinations of two sub
- 1. 5
- 2. 6
- 3. 7
- 4. 18
Question: 2 men and 1 woman board a bus of which 5 seats are vacant, one of these 5 seats is reserved for ladies. A woman may or may not sit on the seat reserved for ladies, In how many different ways can the five seats be occupied by these passengers?
- 1. 15
- 2. 36
- 3. 48
- 4. 60
Question: Three dice (each having six faces with each face having one number from 1 or 6) are ralled. What is the number of possible outcomes such that atleast one dice shows the number 2?
- 1. 36
- 2. 81
- 3. 91
- 4. 116
Question: A mixed doubles tennis game is to be played two teams(each consists of one male and one female) There are four married couples. No team is to consist a husband and his wife. What is the maximum number of games that can be played?
- 1. 12
- 2. 48
- 3. 36
- 4. 42
Question: In a question paper, there are four multiple choice type questions, each question has five choices with only one choice for it’s correct answer. What is the total number of ways in which a candidate will not get all the four answers correct?
- 1. 19
- 2. 120
- 3. 624
- 4. 1024
Question: In how many different ways can six players be arranged in a line such that two of them, Asim and Raheem are never together?
- 1. 120
- 2. 240
- 3. 360
- 4. 480
Question: Groups each containing 3 boys are to be formed out of 5 boys. A, B, C, D and E such that no group can contain both C and D together. What is the maximum number of such different groups?
- 1. 5
- 2. 6
- 3. 7
- 4. 8
Question: A question paper had 10 questions. Each question could only be answered as true(T) of False(F). Each candidate answered all the questions, Yet no two candidates wrote the answers in an identical sequence. How many different sequences of answers are possib
- 1. 20
- 2. 40
- 3. 512
- 4. 1024