# Consider a class of 5 girls and 6 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 members of the same team, is:Option 1)500Option 2)200Option 3)300Option 4)250

Theorem of Combination -

Each of the different groups or selection which can be made by taking r things from n things is called a combination.

$^{n}c_{r}=\frac{(n)!}{r!(n-r)!}$

- wherein

Where $1\leq r\leq n$

from the concept of combination.

Required np. of ways

=Total no. of ways - when A and B are always included.

$=7C_{2}\cdot 7C_{3}-5C_{_{1}}\cdot 5C_{2}$

$=300$

Option 1)

500

Option 2)

200

Option 3)

300

Option 4)

250

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