Mathematics Permutations, Combinations and Probability MCQS Online Preparation Sample Paper Questions with Answer
Mathematics Permutations, Combinations, and Probability are the important concepts of the ECAT (Engineering College Admission Test) as they test the students if they can apply the counting principles and how effectively they can calculate the probability of the event. It is very essential to get these concepts right to solve mathematics problems with accuracy and efficiency.
Key Concepts in Mathematics Permutations, Combinations, and Probability
- Permutations: Arrange the object by the order it is represented mathematically by P (n,r) = n! / (n-r)!
- Combinations: The collection of objects without regard to the arrangement, which is given by the formula C (n,r) = n! / r! (n-r)!
- Basic Probability: The measure of how likely an event is to occur, calculated using the formula P(E) = Favorable outcomes / total outcomes.
Sample MCQs on Mathematics Permutations, Combinations, and Probability
- How many ways can 5 students be arranged in a row?
- A) 60
- B) 120 ✅
- C) 24
- D) 80
- How many ways can 3 students be selected from a group of 8?
- A) 56 ✅
- B) 48
- C) 42
- D) 64
- If a coin is tossed twice, what is the probability of getting at least one head?
- A) 1/4
- B) 1/2
- C) 3/4 ✅
- D) 1/3
- How many different four-letter words can be formed using the letters A, B, C, and D without repetition?
- A) 12
- B) 16
- C) 24 ✅
- D) 36
- What is the probability of drawing an ace from a standard deck of 52 playing cards?
- A) 1/52
- B) 1/26
- C) 1/13 ✅
- D) 1/4
- How many ways can a committee of 3 be selected from a group of 10 people?
- A) 120
- B) 45 ✅
- C) 60
- D) 30
- In how many ways can the letters of the word “MATH” be arranged?
- A) 12
- B) 24 ✅
- C) 16
- D) 32
- A box contains 3 red balls and 5 blue balls. What is the probability of randomly selecting a red ball?
- A) 3/5
- B) 5/8
- C) 3/8 ✅
- D) 1/2
Conclusion
Mathematics is the most important part of ECAT though it may be anything else due to tricks, formulas, and a little heat of the brain, the tricks can be learned, all you need to do is understand Mathematics Permutations, Combinations, and Probability. Solving MCQs in these areas is a good exercise for students to enhance their problem-solving skills and build their confidence. Nokryan.com provides high-quality study materials, practice questions, and explanations designed to help students prepare. If regular practice of these concepts is done during their study sessions, then it will eventually enhance their probability of scoring higher marks in the ECAT examination.