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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
The captains of five cricket teams, including India and Australia, are lined up randomly
next to one other for a group photo. What is the probability that the captains of India and
Australia will stand next to each other?
Solution
Treat India–Australia as one block. Then we have $4!$ ways to arrange the block with the other 3 captains, and $2$ orders inside the block (IA or AI). Favorable $=2\cdot4!=48$; total $=5!=120$.
Probability $=\dfrac{48}{120}={\dfrac{2}{5}}$.
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