OCR S1 2007 January — Question 3

Exam BoardOCR
ModuleS1 (Statistics 1)
Year2007
SessionJanuary
TopicPermutations & Arrangements
TypeDigit arrangements forming numbers

3 The digits 1, 2, 3, 4 and 5 are arranged in random order, to form a five-digit number.
  1. How many different five-digit numbers can be formed?
  2. Find the probability that the five-digit number is
    (a) odd,
    (b) less than 23000 .