Question
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: Option A
THERE ARE THREE LADIES AND FIVE GENTLEMEN AND A COMMITTEE OF 5 MEMBERS TO BE FORMED.
NUMBER OF WAYS SUCH THAT TWO LADIES ARE ALWAYS INCLUDED IN THE COMMITTEE = ⁶C₃ = (6 * 5 * 4)/6 = 20.
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THERE ARE THREE LADIES AND FIVE GENTLEMEN AND A COMMITTEE OF 5 MEMBERS TO BE FORMED.
NUMBER OF WAYS SUCH THAT TWO LADIES ARE ALWAYS INCLUDED IN THE COMMITTEE = ⁶C₃ = (6 * 5 * 4)/6 = 20.
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