Sets, Counting & Basic Combinatorics
6 questions available
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Q1.How many distinct permutations can be formed from the word Apple?
Correct Answer: B
Q2.10!/7! = ?
Correct Answer: A
Q3.In a group of 200 people, 90 like tennis, while 108 like cricket and 46 people like both tennis and cricket. How many people like neither tennis nor cricket?
Correct Answer: B
People liking at least one sport = 90+108-46 = 152. Neither = 200-152 = 48.
Q4.The lights and brakes of 30 bicycles were tested. 27 bicycles passed the lights and 21 passed the brakes test. The lights and brakes both failed on one bicycle. How many bicycles passed both tests?
Correct Answer: A
Using inclusion-exclusion: bicycles that failed at least one test = 30 - passed both. Solving with the given data gives 19 bicycles passed both tests.
Q5.The lights and breaks of 30 bicycles were tested. 27 bicycles passed the lights and 21 passed the brakes test. The light and breaks both failed on one bicycle. How many bicycles passed both tests?
Correct Answer: A
Correct answer is A: 19
Q6.What is the value of 6! (Factorial of 6)?
Correct Answer: C
Calculated as: 6! = 6 × 5 × 4 × 3 × 2 × 1 = 720.