OCR MEI S1 2010 January — Question 6

Exam BoardOCR MEI
ModuleS1 (Statistics 1)
Year2010
SessionJanuary
TopicPermutations & Arrangements
TypeCombinatorial selection with category constraints

6 Three prizes, one for English, one for French and one for Spanish, are to be awarded in a class of 20 students. Find the number of different ways in which the three prizes can be awarded if
  1. no student may win more than 1 prize,
  2. no student may win all 3 prizes. Section B (36 marks)