alleryA team of 5 with at least 3 girls cannot be all girls. Why not?
AThe team has only 4 places
BThe rule has only 4 clauses
CThe group has only 4 girls
DThe group has only 4 boys
Answer & Solution
Correct answer: C. The group has only 4 girls
1. The team could in principle be 3 girls and 2 boys, or 4 girls and 1 boy.
2. A fifth possibility would be 5 girls and no boys.
3. The team cannot have all 5 girls, because the group has only 4 girls.
4. So that case is dropped before any counting begins.
_Source: syllabus Mathematics, Ch 6 'Permutations and Combinations'_
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