OCR MEI S1 2011 January — Question 3

Exam BoardOCR MEI
ModuleS1 (Statistics 1)
Year2011
SessionJanuary
TopicCombinations & Selection

3 There are 13 men and 10 women in a running club. A committee of 3 men and 3 women is to be selected.
  1. In how many different ways can the three men be selected?
  2. In how many different ways can the whole committee be selected?
  3. A random sample of 6 people is selected from the running club. Find the probability that this sample consists of 3 men and 3 women.