Question

In how many ways can we select $5$ people from a group of $9$ people so that a particular person is never to be included

• A. ${}^8{C}_5$
• B. ${}^9{C}_5$
• C. ${}^8{P}_5$
• D. $9P_5$

Answer 1

The correct option is A ${}^8{C}_5$

Out of $9$ people, one has not to be selected.

Therefore, there are total $8$ persons. We have to select $5$ among them.

Total number of ways ${=}^8{C}_5$