5.01a Probability by calculation and conditional probability Quiz: OCR Further Maths, Unit 2

The 20 questions

1. Which mathematical term describes an ordered arrangement of a set of distinct objects?

   • Distribution
   • Combination
   • Selection
   • Permutation

2. Which mathematical term describes a selection of objects where the order of selection does not matter?

   • Arrangement
   • Sequence
   • Combination
   • Permutation

3. Which formula gives the number of permutations of r objects chosen from n distinct objects?

   • n! / r!
   • n! / (n - r)!
   • n! / (r!(n - r)!)
   • r! / (n - r)!

4. Which formula gives the number of combinations of r objects chosen from n distinct objects?

   • n! / (n - r)!
   • r! / (n!(n - r)!)
   • n! / (r!(n - r)!)
   • n! / r!

5. How many distinct four-letter arrangements can be made using all the letters in the word MATH?

   • 12
   • 16
   • 24
   • 48

6. How many distinct five-letter arrangements can be made using all the letters in the word LEVEL?

   • 60
   • 24
   • 30
   • 120

7. How many different groups of three letters can be chosen from five distinct letters?

   • 15
   • 10
   • 20
   • 60

8. How many different three-letter ordered sequences can be formed using five distinct letters?

   • 60
   • 10
   • 120
   • 15

9. How many distinct five-letter arrangements can be formed using all the letters in STATS?

   • 60
   • 30
   • 120
   • 20

10. In how many ways can six people be arranged in a line if two specific people must stand together?

    • 480
    • 240
    • 120
    • 720

11. In how many ways can five people stand in a line if two specific people must not stand together?

    • 48
    • 120
    • 24
    • 72

12. Two letters are chosen at random from three distinct letters. What is the probability a specific letter is chosen?

    • 2/3
    • 3/4
    • 1/2
    • 1/3

13. If four letters of the word MOON are arranged at random, what is the probability the Os are adjacent?

    • 2/3
    • 1/4
    • 1/3
    • 1/2

14. Five books are arranged at random on a shelf. What is the probability two specific books occupy the end positions?

    • 1/20
    • 1/5
    • 1/10
    • 2/5

15. A committee of three is chosen from four men and three women. What is the probability of picking two men?

    • 4/7
    • 18/35
    • 6/35
    • 12/35

16. Four letters are selected from four vowels and four consonants. What is the probability of selecting two of each?

    • 18/35
    • 12/35
    • 1/2
    • 9/35

17. If the letters of the word SEED are arranged at random, what is the probability the two Es are separated?

    • 1/2
    • 1/3
    • 2/3
    • 1/4

18. Three distinct numbers are chosen from 1 to 6 inclusive. What is the probability that their median is 3?

    • 3/10
    • 2/5
    • 1/5
    • 1/4

19. How many distinct four-letter arrangements can be made using all the letters in the word BALL?

    • 6
    • 24
    • 16
    • 12

20. How many distinct ways can four people be selected from a group of seven people?

    • 35
    • 21
    • 140
    • 840

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