Discussion
A delegation of 5 members has to be formed from 3 ladies and 5 gentlemen. In how many ways the delegation can be formed, if 2 particular ladies are always included in the delegation?
Answer: A
The two particular ladies are already in, so only three more places remain and they come from the other six people (1 lady and 5 gentlemen).
\[ {}^{6}C_{3} = 20 \]
Fixing members reduces both the size of the pool and the number still to be chosen.
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