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  • Help me understand! 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:

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)

    500

  • Option 2)

    200

  • Option 3)

    300

  • Option 4)

    250

Answers (1)

best_answer

 

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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