SOLUTION: 5 particular boys and 5 particular girls are selected and placed in mixed pairs for tennis.Find the total number of different mixed pairs which can be made using these 10 children.

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Question 1023411: 5 particular boys and 5 particular girls are selected and placed in mixed pairs for tennis.Find the total number of different mixed pairs which can be made using these 10 children.
Answer by mathmate(429) About Me  (Show Source):
You can put this solution on YOUR website!

Question:
5 particular boys and 5 particular girls are selected and placed in mixed pairs for tennis.Find the total number of different mixed pairs which can be made using these 10 children.

Solution:
Consider the case of one boy and 5 girls. How many ways can we make a mixed pair? The answer is five.
What if we add one more boy to make 2 boys and 5 girls? The number of mixed pairs is 5 for each boy, so 10.
Now consider 5 boys and 5 girls. I am quite sure you have the answer by now.