CAIE S1 2016 June — Question 6

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2016
SessionJune
TopicPermutations & Arrangements
TypeDigit arrangements forming numbers

6
    1. Find how many numbers there are between 100 and 999 in which all three digits are different.
    2. Find how many of the numbers in part (i) are odd numbers greater than 700 .
  1. A bunch of flowers consists of a mixture of roses, tulips and daffodils. Tom orders a bunch of 7 flowers from a shop to give to a friend. There must be at least 2 of each type of flower. The shop has 6 roses, 5 tulips and 4 daffodils, all different from each other. Find the number of different bunches of flowers that are possible.