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Sigma bonds refer to overlap of s orbitals: since there is only one s orbital, there can only be one sigma bond. Pi bonds, on the other hand, refer to overlap of p orbitals. Since there are multiple p orbitals, multiple pi bonds can form.
This is because a sigma bond is the overlapping of the s orbital and since there is only one there can only be one sigma bond. Also, there can be multiple pi bonds because it occurs between p orbitals, and there are three therefore there can be multiple pi bonds
You can have more than 1 pi bond because they are made up of the interaction between p orbitals. Because some elements can have the Px Py and Pz orbitals, they can make 3 pi bonds while only one S orbital is available, thus making it so that there can only be one sigma bond.
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