A club consists of 5 forth year, 6 third year and 4 second year students. a) We
ID: 3205820 • Letter: A
Question
A club consists of 5 forth year, 6 third year and 4 second year students. a) We select 7 students to form a committee. What is the probability that the selected committee is made of 2 forth year, 2 third year and 3 second year students?
b) From the 15 students we select 3 students who will hold the positions of president, vice-president and secretary. What is the probability that the selected committee will consist of a president from the forth year, a vice-president from the third year and a treasurer from the second year?
Explanation / Answer
SOl:
the selected committee is made of 2 forth year, 2 third year and 3 second year students
total =15C7
selecting 2 forth year, 2 third year and 3 second year students from 5,6 and 4 is
5C2*6C2*4C3
the probability that the selected committee is made of 2 forth year, 2 third year and 3 second year students
=5C2*6C2*4C3/15C7
=600/6435
=0.093
he probability that the selected committee is made of 2 forth year, 2 third year and 3 second year students=0.093
Solutionb:
he probability that the selected committee will consist of a president from the forth year, a vice-president from the third year and a treasurer from the second year
=5C1*6C1*4C1/15C3
=120/455
=0.264
he probability that the selected committee will consist of a president from the forth year, a vice-president from the third year and a treasurer from the second year=0.264
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