The apartment complex management is planning to take the children to a cinema. They have informed the parents about the rules for this event, which are as follows:

I. Every child below 4 years of age has to be accompanied by both parents.

II. Children of 4 - 12 years of age must be accompanied by either of the parents.

III. Children above 12 years must not be accompanied by any parent.

The management is planning to send a few representatives and assistants along in the following way.

A. For a group of every 10 children or a part thereof, there must be a representative. B. For a group of every 5 representatives or a part thereof, there must be an assistant.

If there are exactly 63 people from the apartment in the cinema and there are children of only below 4 years of age and those between 4 and 12, then which of the following must be true?

I. The number of below 4 year olds must be odd.

II. The number of 4 -12 years old must be odd.

III. The number of students must be odd.

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