Permutations & Combinations Quest

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Quiz on permutations and combinations

Prabu J

India

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Permutations & Combinations Quest


Permutations & Combinations QuestVersion en ligne Quiz on permutations and combinations par Prabu J 1 How many ways to arrange 4 distinct books in a row? a 24 b 48 c 12 d 16 2 Choose 2 people from a group of 5 to form a committee. How many ways? a 20 b 5 c 15 d 10 3 If order matters, how many ways to arrange 3 items from 5? a 120 b 15 c 60 d 20 4 How many 3-letter arrangements from A, B, C if letters can repeat? a 27 b 9 c 12 d 18 5 How many 3-person committees from 6 people with no order? a 20 b 60 c 6 d 15 6 If you have 6 books and want to pick 2 to carry, order matters. How many ways? a 15 b 30 c 60 d 12 7 How many ways to arrange the letters in the word 'BALLOON' (with repeats)? a 840 b 720 c 1260 d 5040 8 Number of ways to choose 4 from 8 without order? a 8 b 14 c 70 d 48 9 If 4 distinct items are chosen and order doesn’t matter, how many 2-item selections from 4? a 4 b 12 c 8 d 6 10 What is nPr when n=7, r=0? a 7 b -1 c 1 d 0 Feedback 1 In permutations, order matters: 4! = 24. 2 Combinations: C(5,2)=5!/(2!3!)=10. 3 5P3 = 5×4×3 = 60. 4 With repetition and order: 3 choices per position → 3^3=27. 5 C(6,3)=6!/(3!3!)=20. 6 P(6,2)=6×5=30. 7 Total permutations with repeats: 7!/(1!1!2!2!)=5040/4=1260. 8 C(8,4)=8!/(4!4!)=70. 9 C(4,2)=6. 10 Any set choosing 0 items has 1 arrangement: 7P0 = 1.