Question

Amit has five friends : 3 girls and 2 boys. Amit’s wife also has 5 friends : 3 boys and 2 girls. In how many maximum number of different ways can they invite 2 boys and 2 girls such that two of them are Amit’s friends and two are his wife’s?

• A. $24$
• B. $38$
• C. $46$
• D. $58$

Answer 1

The correct option is C $46$

$2$ boys from Amit friend and $2$ girls from his wife friend

OR $1$ boy & $1$ girl from Amit friend and $1$ boy and $1$ girl from his wife friend

OR $2$ girls from Amit friend and $2$ boys from his wife friend

Number of ways $=1\times 1+3\times 2\times 3\times 2+3\times 3=1+36+9=46$