Question

Consider a class of $5$ girls and $7$ boys. The number of different teams consisting of $2$ girls and $3$ boys that can be formed from this class, if there are two specific boys $A$ and $B$, who refuse to be the members of the same team, is :

• A. 200
• B. 300
• C. 500
• D. 350

Answer 1

Answer: (B)

300

Answer 2

Required number of ways
= Total number of ways - When $A$ and $B$ are always included.
$= {^5C_2} . {^7C_3} - {^5C_1} {^5C_2} = 300$