In a class of 52 students, A, B, C, & D are standing for elections to become the class monitor. The result came out to be as follows:
A won 2 votes
B won 23 votes
C won 5 votes
D won 22 votes

However, the monitor must win a clear majority! The teacher states that two students can form a 'coalition' and then be co-monitors. How many 'coalitions' can be formed in this instance?

(Note: No more than two students must be part of the coalition)

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Solution

The correct option is B 3
For a successful coalition, the sum of votes of the people in the coalition should be more than 26 (52/2=26). So, the combinations which would form successful coalitions are:
1) B+C (28)
2) C+D (27), and
3) B+D (45)

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Similar questions

Q. In a class of 52 students, A, B, C, & D are standing for elections to become the class monitor. The result came out to be as follows:
A won 2 votes
B won 23 votes
C won 5 votes
D won 22 votes

However, the monitor must win a clear majority! The teacher states that two students can form a 'coalition' and then be co-monitors. How many 'coalitions' can be formed in this instance?

(Note: No more than two students must be part of the coalition)

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(a) Who won the elections?
(b) What is the maximum number of votes and who got them?
(c) By how many votes did the winner defeat the nearest contestant?

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The correct option is B 3For a successful coalition, the sum of votes of the people in the coalition should be more than 26 (52/2=26). So, the combinations which would form successful coalitions are: 1) B+C (28) 2) C+D (27), and 3) B+D (45)

The correct option is B 3
For a successful coalition, the sum of votes of the people in the coalition should be more than 26 (52/2=26). So, the combinations which would form successful coalitions are:
1) B+C (28)
2) C+D (27), and
3) B+D (45)