Question

The no .of ways of selecting $3$ men and $2$ women from $6$ men and $6$ women.

• A. ${}^6{C}_3^6{C}_2$
• B. ${}^{12}{C}_5$
• C. ${}^6{C}_5$
• D. None of these

Answer 1

Answer: (A)

${}^6{C}_3^6{C}_2$

The no.o f ways of selecting Men is ${}^6{C}_3$

The no.o f ways of selecting Women is ${}^6{C}_2$

Total no. of ways is ${}^6{C}_3{\times }^6{C}_2$