Any finite group has an even number of elements

[mathpr]

state whether the following statements are ture or false. give reason for that,
1. any finite group has an even number of elements.
2. there exists a field containing exactly 4 elements.
3. the dimension of a finite dimensional vector space is dividible by the dimension of any subspace.

 

[morphism]

Have you given these any thought? They're pretty trivial.