Mathematics 10 Third Periodical Test

Southville 8C National High School - Third Periodical Test - Mathematics 10

• Question 1: Permutation is the number of ways of selecting items where order matters.

• Question 2: Circular permutation describes the different arrangements of objects in a circle.

• Question 3: Permutation examples include: selecting songs, scheduling classes, and identifying lines. Factorial and fundamental counting principle are related to permutations.

• Question 4: Finding numbers using digits 1, 3, 5, 6, 8, and 9 (no repetition, even numbers) - 840 possible 4-digit even numbers.

• Question 5: Identifying distinguishable permutations for the word PASS (144 possible permutations).

• Question 6: Number of ways 5 people line up for a picture - with two people standing next to each other - 48 arrangements.

• Question 7: Combination is the number of ways of selecting items where order does not matter.

• Question 8: Combination scenarios include choosing colors, electing representatives, and listing elements, not choosing arrangements like opening a combination lock.

• Question 9: Calculating n in C(5,4) = n (answer :5). Choose 4 items from 5 items.

• Question 10: Importance of order in scenarios like contest winners, cellphone passcodes, selecting combo meals and listing elements of a set. Order is not critical.

• Question 11: Permutation describes sequential ordering and item placement.

• Question 12: Choosing items and arranging the arrangement.

• Question 13: Combination examples involve topping a pizza, selecting students and assembling puzzles.

• Question 14: Arrangement of runners in a race (first, second, third place). - 720 possible arrangements.

• Question 15: Number of distinguishable permutations of "EDUCATED" - 1,680.

• Question 16: Number of ways 5 people shake hands- 10.

• Question 17: Ways 8 people can be seated around a circular table -with 2 people next to each other - 5040.

• Question 18-40: Probability questions related to committees, dice rolling, cards drawing, sets of objects etc.

  • Key concepts include determining outcomes and favorable outcomes, calculating probabilities for various events.