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Permutation - Combination

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  • How many different even 3-digit numbers can be created using the digits 0, 2, 3, 4. 5 without using same number twice
    30
  • In how many ways can 5 people will be selected from 10 people so that the Alhmet, Bahri and Cemal must be in the group?
    C(7, 2)
  • True or False C(12,3) = C(12, 9)
    True
  • How many different even 2-digit numbers can be created using the digits 0, 2, 3, 4.
    3 x 3 =9
  • True or False P(10,4) = P(10, 6)
    False
  • A club has 8 members. In how many ways can 4 of them be arranged in a row for a photograph?
    8x7x6x5
  • In a group of 11 people, how many ways can you choose a president, vice-president, and secretary?
    11x10x9 = 990
  • A restaurant offers 10 different toppings for burgers. How many different combinations of toppings can you choose for your burger if you can select up to 3 toppings?
    C(10,3)
  • P(6,2)
    30
  • How many different 3-digit numbers can be created using the digits 0, 2, 3, 4.
    3 x 4 x 4 = 48
  • You have 5 different math textbooks and 6 different science textbooks. How many ways can you arrange these books on a bookshelf if all math textbooks must be together and all science textbooks must be together?
    5! x 6! x 2!
  • C(10,1)
    10
  • A group of 5 students is selected from a class of 20 for a project team. How many different teams can be formed?
    C(20,5)
  • There are 10 runners in a race. How many different ways can gold, silver and bronze medal can be distributed?
    10 x 9 x 8 = 720
  • A burger restourant offers a menu that has a burger, fries and a beverage. How many different orders you can make if there are 5 burgers, 3 fries and 4 beverages?
    5x3x4 = 60
  • How many diffrent ways a driver can go from A to C
    3x5+2 = 17
  • A bookstore has 8 different books to display on a shelf. However, they want to arrange the books in such a way that 3 specific books must always be placed together. How many different ways can they arrange the books on the shelf?
    6! x 3!
  • How many different 3-digit numbers can be created using the digits 0, 2, 3, 4.but same number cannot be used twice?
    18
  • Group of 7 people (A, B, C, D, E, F, G) are sitting in a row. How many different ways they can sit if A, B and C will sit together and D, E will also sit together
    4! x 3! x 2!
  • P(10,0)
    11
  • C(6,2)
    15
  • How many different seating arrangements are possible for 7 people in a row of chairs?
    7!
  • In a dinner party there are 3 tables and 20 people. How many different ways they can sit if 4 people will sit in one table?
    C(20, 4) x C(16, 4) x C(12, 4)
  • In how many ways can you arrange the digits 1, 2, 3, 4, 5 without repetition?
    5! = 120