Question

There are $12$ balls numbered from $1$ to $12$. The numbers of ways in which they can be used to fill $8$ places in a row is:

• A. ${{}^{12}C}_8$
• B. ${{}^{12}P}_8$
• C. $2\times {{}^{12}P}_8$
• D. $2\times {{}^{12}C}_8$

Answer 1

The correct option is A ${{}^{12}C}_8$

Number of ways of choosing $8$ balls from $12$ balls${=}^{12}{C}_8$.