Analytical Geometry



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Sana14.06.2022
Hajmi5,21 Mb.
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  • An Arrangement is an ordered sequence of items where not every item is used.
  • Eg. 2 How many 4 letter sequences can be made with the vowels a,e,i,o,u & y without repeating?
  • 8
  • 7
  • 6
  • =
  • 336
  • 6
  • 5
  • 4
  • =
  • 3
  • 360
  • Eg.3 List the permutations of students at the front
  • 3 students
  • 4 students
  • AB
  • BA
  • ABC
  • ACB
  • BAC
  • BCA
  • CAB
  • CBA
  • ABCD
  • ABDC
  • ACBD
  • ACDB
  • ADBC
  • ADCB
  • CABD
  • CADB
  • CBAD
  • CBDA
  • CDAC
  • CDBA
  • BACD
  • BADC
  • BCAD
  • BCDA
  • BDAC
  • BDCA
  • DABC
  • DACB
  • DBAC
  • DBCA
  • DCAB
  • DCBA
  • 2!= 2
  • 3x2x1=3!= 6
  • 4x3x2x1 = 4! = 24
  • Evaluate these Factorials
  • Eg. 4 Choose 3 students from a set of 5 to go to the office
  • =
  • 5
  • 4
  • 3
  • 3!
  • =
  • 10
  • 20
  • 19
  • 18
  • 17
  • 16
  • 5!
  • 15 504
  •  Because order does not matter
  • A) One chooses 3 different toppings on a tofu burger from a choice of 15 toppings.
  • Arrangement, Permutation or Combination?
  • Combination
  • Permutation
  • Arrangement
  • B) Arrange all 6 shirts in your closet. Order is important.
  • Combination
  • Permutation
  • Arrangement
  • Arrangement, Permutation or Combination?
  • C) Take your two favourite movies from a collection of 15 dvds to a friend’s for a slumber party.
  • Combination
  • Permutation
  • Arrangement
  • Arrangement, Permutation or Combination?
  • D) Make a poker hand by taking the top 5 cards from a deck.
  • Combination
  • Permutation
  • Arrangement
  • Arrangement, Permutation or Combination?
  • E) A teacher organizes all 12 class tests in order.
  • Combination
  • Permutation
  • Arrangement
  • Arrangement, Permutation or Combination?
  • Combination
  • Permutation
  • Arrangement
  • Arrangement, Permutation or Combination?
  • G) A team of 6 horses from a batch of 12 horses are chosen.
  • Combination
  • Permutation
  • Arrangement
  • Arrangement, Permutation or Combination?
  • Classwork
  • pg. 232 #5-8
  • Worksheet A2

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