Which of the following sentences correctly uses 'among' and 'between'?

'Among' and 'between' have specific usage rules in English that pertain to the number of entities involved in a relationship. The term 'between' is typically used when referring to two distinct entities or groups, while 'among' is used for three or more.

In the context of the correct answer, the sentence indicates that roles are being distributed to multiple individuals who make up "the team." This implies that there are more than two team members involved. Hence, 'among' appropriately describes the distribution in a collective group, aligning perfectly with its grammatical function.

The other statements, while they may use 'between' and 'among' correctly in some contexts, do not demonstrate the correct usage according to the number of entities involved in their scenarios. The use of 'among' in the correct option fits the rule well and exemplifies a clear understanding of these prepositions.