Question

In how many ways a group of $3$ boys and $2$ girls can be formed out of a total of $4$ boys and $4$ girls?

• A. $15$
• B. $16$
• C. $20$
• D. $24$

Answer 1

The correct option is D $24$

$3$ boys $2$ girls out off $4$ boys $4$ girls

Number of ways of arranging

${}^4{C}_3{\times }^4{C}_2=\left(4\right)\left(\frac{4\times 3}{2}\right)=4\times 6$

$=24$ Ways