Summative Test PDF

# SUMMATIVE TEST ## Slide 2 of 31 1. Two different arrangements of objects where some of them are identical are called **distinguishable permutation**. ## Slide 3 of 31 2. What do you call an arrangement of the objects such that order of the objects should be considered? **Permutation** ## Sl...

# SUMMATIVE TEST ## Slide 2 of 31 1. Two different arrangements of objects where some of them are identical are called **distinguishable permutation**. ## Slide 3 of 31 2. What do you call an arrangement of the objects such that order of the objects should be considered? **Permutation** ## Slide 4 of 31 3. What is P (10,5)? **10P5** ## Slide 5 of 31 4. Write in mathematical expression that illustrates the combination of object taken r at a time. **nCr** ## Slide 6 of 31 5. Choosing a subset of a set is an example of **combination**. ## Slide 7 of 31 6. Write in mathematical expression that illustrates the permutation of object taken r at a time? **npr** ## Slide 8 of 31 7. How many distinguishable permutations of the letters of the word EDUCATED? ## Slide 9 of 31 8. What is C (8,8)? ## Slide 10 of 31 9. If A and B are two any two events, write notation that denotes the intersection of two events? (Write in mathematical expression) **A ∩ B** ## Slide 11 of 31 10. Write in mathematical expression that shows the permutation of 6 taken 2 at a time? (Using the formula, by substitution) **6P2 = 6! / (6-2)! = 6! / 4! = 6 * 5 * 4! / 4! = 6 * 5 = 30** ## Slide 12 of 31 11. What is the combination of 7 objects taken 3 at a time? **7C3** ## Slide 13 of 31 12. If P(n, 4) = 5,040, what must be the value of n? **n = 8** ## Slide 14 of 31 13. Out of fifty students 22 are taking English and 25 are taking Chemistry. If ten students are in both classes, how many students are in neither class? ## Slide 15 of 31 14. There are 15 chips on the box numbered 1-15. You and your seatmate were tasked to make two events (A and B) with common outcomes. How will you present the intersection of two events? * A. If A = {2, 4, 6, 8} and B = {3, 5, 6, 7, 8}, then (A ∩ B) = {6, 8} * B. If A = {2, 4, 6, 8} and B = {3, 5, 6, 7, 8}, then (A ∩ B) = {2, 3, 4, 5, 6, 7, 8} * C. If A = {7} and B = {10}, then (A ∩ B) = {7, 10} * D. If A = {1, 3} and B = {2, 3}, then (A ∩ B) = { } **The correct answer: A. If A = {2, 4, 6, 8} and B = {3, 5, 6, 7, 8}, then (A ∩ B) = {6, 8}** ## Slide 16 of 31 15. In a town singing competition with 10 contestants, in how many ways can the organizer arrange the first five singers? ## Slide 17 of 31 16. In how many ways can you select seven face cards in a standard deck of cards? ## Slide 18 of 31 17. In how many ways can a committee of 7 students be chosen from 9 juniors and 9 seniors. If there must be 4 seniors in the committee? ## Slide 19 of 31 18. A card is pulled from a deck of playing cards and noted. The card is then replaced, the deck is shuffled, and a second card is removed and noted. What is the probability that both cards are faced cards? ## Slide 20 of 31 19. In a local Election, voters are to select 6 councilors from the set of candidates. If there are 12 candidates for councilors, how many possible ways can a voter select 6 councilors? ## Slide 21 of 31 20. In a school photography club, there are 9 boys and 6 girls. In how many ways can a committee of 5 students be selected? ## Slide 22 of 31 21. Write the formula for the mutually exclusive event. **P( A or B) = P(A) + P(B)** ## Slide 23 of 31 22. Write the formula for not mutually exclusive events/inclusive events. **P(A or B) = P(A) + P(B) - P(A and B)** ## Slide 24 of 31 23. Draw a Venn diagram that illustrates the union and intersection of the given data. A = {1, 3, 5} and B = {2, 3, 5} ## Slide 25 of 31 24. What is the probability of getting a head or a tail in flipping a coin? **1** ## Slide 26 of 31 25. Out of 50 households surveyed, 25 had a dog, 12 had a cat, and 13 had both dog and cat. What is the probability that a randomly selected household has a dog or cat? ## Slide 27 of 31 26. A bag contains 4 blue, 3 white and 5 red marbles. Two marbles are drawn without replacement. Find the probability that the first ball is red then the second is blue ## Slide 28 of 31 27. There are 4 fifty peso bills and 6 twenty peso bills in my wallet. If I pick two bills in succession without replacement, what is the probability that I get: Twenty and fifty peso bill? ## Slide 29 of 31 28. A jar contains 4 white balls and 1 black ball. A ball is drawn from the jar and returned before the next draw. What is the probability of drawing 3 white balls? ## Slide 30 of 31 30. You flipped a coin and rolled a die. What is the probability that you will get: A tail and an even number?