1) 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? a. 36 b. 81 c. 91 d. 116


2) 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? a. 12 b. 48 c. 36 d. 42


3) 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? a. 19 b. 120 c. 624 d. 1024


4) In how many different ways can six players be arranged in a line such that two of them, Asim and Raheem are never together? a. 120 b. 240 c. 360 d. 480


5) 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? a. 5 b. 6 c. 7 d. 8


6) 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 possible? a. 20 b. 40 c. 512 d. 1024


7) Six points are marked on a straight line and five points are marked on another line which is parallel to the first line. How many straight lines, including the first two, can be formed with these points? a. 29 b. 32 c. 55 d. 30


8) A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected if it should have at least one senior? a. ²²C₁₀ b. ²²C₁₀ + 1 c. ²²C₉ + ¹⁰C₁ d. ²²C₁₀ – 1


9) A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors? a. ¹²C₅ * 10 b. ¹²C₇ * 10 c. ¹²C₇ * ¹⁰C₅ d. 12 * ¹⁰C₅


10) A group consists of 4 men, 6 women and 5 children. In how many ways can 3 men, 2 women and 3 children selected from the given group? a. 300 b. 450 c. 600 d. 750


11) A group consists of 4 men, 6 women and 5 children. In how many ways can 2 men , 3 women and 1 child selected from the given group? a. 300 b. 600 c. 750 d. 900


12) Find the number of ways of arranging the letters of the word “MATERIAL” such that all the vowels in the word are to come together? a. 720 b. 1440 c. 1860 d. 2160


13) The number of new words that can be formed by rearranging the letters of the word ‘ALIVE’ is__________? a. 24 b. 23 c. 119 d. 120


14) A delegation of 5 members has to be formed from 3 ladies and 5 gentlemen. In how many ways the delegation can be formed, if 2 particular ladies are always included in the delegation? a. 20 b. 54 c. 42 d. 60


15) The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is . a. 4000 b. 2160 c. 4320 d. 5300


16) In how many ways can live boys and three girls sit in a row such that all boys sit together? a. 4800 b. 5760 c. 2880 d. 15000
