Using the formular [tex]\frac{n(n-1)}{2} [/tex] which gives the number of pairs of obtainable from a set of n elements, the number cards exchanged by the techies is 4950
Using the relation :
- [tex]\frac{n(n-1)}{2} [/tex]
- n = number of elements = 100 cards
Substituting the value of n into the relation :
[tex]\frac{100(100-1)}{2} = \frac{(100 \times 99)}{2} = \frac{9900}{2} = 4950 [/tex]
Therefore, the total number of cards exchanged by the 100 computer techies is 4950.
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