CAT Exam Model Paper 4 with solutions for free online practice

Question : 6 of 60

Marks: +1, -0

India and Brazil play the Soccer World Cup final in which India defeats Brazil 4 - 2. In how many different ways could the goals have been scored given that Brazil never had a lead over India during the match?

9
10
8
None of these

Validate

Solution:

If Brazil never gets a lead over India, the first goal of the match should be scored by India. At this stage India leads by 1 - 0, and the only way in which Brazil can take a lead is by scoring the next two goals i.e. a scoring pattern like IBBIII. In all other cases Brazil would never be able to lead India.
Total cases where India scores the first goal

=5!/{3!2!}=10

Different scoring patterns possible =

1 0 - 1 = 9 .

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