Permutations and combinations

Permutations and combinations

1. Order does matter

   • Permutations
     • What are permutations?
       • A permutation is an arrangement of outcomes in which the order does matter.
         • What is the formula?
           • • No restrictions

2. Order does not matter

   • Combinations
     • What are combinations?
       • A combination is a grouping of outcomes in which the order does not matter.
         • What is the formula?

3. Difference between permutations and combinations:

   • 1. picking a defender, striker and goalie 2. picking first, second and third place winners
   • 1. Picking 3 members for a group 2. Picking 3 winners
   • Example Questions:
     • A fruit stall displays 10 fruits in a row. 5 are pears, 4 are mangos and 1 of them is a tangerine. (i) Find the number of different ways the fruits can be displayed if there are no restrictions. (ii) Find the number of different ways the fruits can be displayed if the same types of fruit are kept together.
     • A school has 3 fairgrounds tickets to give out at random to a class of 18 boys and 15 girls. Find the number of ways this could be done if (i) There are no restrictions (ii) 2 of the tickets are given to boys and 1 ticket is given to a girl (iii) At least 1 boy gets a ticket

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