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

Question: 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?

• 1. 29
• 2. 32
• 3. 55
• 4. 30

Question: 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?

• 1. ²²C₁₀
• 2. ²²C₁₀ + 1
• 3. ²²C₉ + ¹⁰C₁
• 4. ²²C₁₀ – 1

Question: 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?

• 1. ¹²C₅ * 10
• 2. ¹²C₇ * 10
• 3. ¹²C₇ * ¹⁰C₅
• 4. 12 * ¹⁰C₅

Question: 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?

• 1. 300
• 2. 450
• 3. 600
• 4. 750

Question: 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?

• 1. 300
• 2. 600
• 3. 750
• 4. 900

Question: 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?

• 1. 720
• 2. 1440
• 3. 1860
• 4. 2160

Question: The number of new words that can be formed by rearranging the letters of the word ‘ALIVE’ is__________?

• 1. 24
• 2. 23
• 3. 119
• 4. 120