CAIE S1 2016 November — Question 3

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

3 Numbers are formed using some or all of the digits 4, 5, 6, 7 with no digit being used more than once.
  1. Show that, using exactly 3 of the digits, there are 12 different odd numbers that can be formed.
  2. Find how many odd numbers altogether can be formed.