50. in a finite group, show that the number of nonidentity elements that satisfy the equation = e is a multiple of 5. if the stipulation that the group be finit

50. In a finite group, show that the number of nonidentity elements that satisfy the equation = e is a multiple of 5. If the stipulation that the group be finite is omitted, what can you say about the number of nonidentity elements that satisfy the equation x= e?