CAIE S1 2020 June — Question 4

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2020
SessionJune
TopicCombinations & Selection

4 In a music competition, there are 8 pianists, 4 guitarists and 6 violinists. 7 of these musicians will be selected to go through to the final. How many different selections of 7 finalists can be made if there must be at least 2 pianists, at least 1 guitarist and more violinists than guitarists?