GATE Electrical Engineering (EE) 2020 Solved Paper

Question : 5 of 65

Marks: +1, -0

If P, Q, R, S are four individuals, how many teams of size exceeding one can be formed, with Q as a member?

Solution:

Teams having member greater than one with Q as his always member
Case-1: 2 member in the team

{Q}-{ }^{3} {C}_{1}=\;{3 !}/{2 ! 1 !}=3

Case-2: 3 members in the team

{Q}--{ }^{3} {C}_{2}=\;{3 !}/{2 ! 1 !}=3

Case-3: 4 member in the team

{Q}---{ }^{3} {C}_{3}=\;{3 !}/{3 ! 1 !}=1

3+3+1=7

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