There are eleven balloons floating in a big box. If one balloon clashes with another only once, how many clashes have there been?
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Given : eleven balloons floating in a big box.
one balloon clashes with another only once,
To Find : Number of clashes
Solution:
Total Balloons = 11
one balloon clashes with another only once
For a clash 2 balloons are required
Number of ways to select 2 balloons from 11 are given by ¹¹C₂
= 11 * 10 / 2
= 11 * 5
= 55
Hence 55 clashes
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