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Brainteaser #30- 67 Students -

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In a class of 67 students, the probability that at least two of them have the same number of friends in the class is very high. But is it a certainty (i.e. is the probability 100%)? Note that if one student is friends with another student then that other student is also friends with him/her (i.e. friendships are mutual). And of course no one is friends with himself/herself.
Do you have a suggestion for this puzzle (e.g. something that should be mentioned/clarified in the question or solution, bug, typo, etc.)?