A team of $8$ people is to be chosen from a class consisting of $6$ girls, $4$ boys and $2$

Question

A team of $8$ people is to be chosen from a class consisting of $6$ girls, $4$ boys and $2$ teachers. In how many ways can a team be chosen if it contains $5$ girls, $3$ boys and no teachers?[2] In how many ways can a team be chosen if it contains an equal number of girls and boys?[3] The whole class stands in a line. Find the number of different possible arrangements if all the girls must stand together and the $2$ teachers must be separated.[4]

Accepted Answer

(a) $24$. (b) $95$. (c) $2592000$.

2024 VJC H1 Q8

2024 VJC H1 Q8

Solution:

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