NEED HELP DISCRETE MATH 10. Five students are to be allocated into three distinguishable teams.a. How many distributions are there? In other words how many differentpossible sizes can the teams have? (Include empty teams.) e.g. “Team 1and 2 each have two members and Team 3 has one member" is one ofthe distributions being counted; perhaps 221 is a good way to representthis distribution. Enumerate (list out) all possible distributions and thencheck your answer with the appropriate formula.b. Suppose a distribution is chosen: two students will be on the first andsecond teams each, while a single student will be on the third team. Howmany different combinations of teams are there? e.g. "Team 1: Alicia andCarlos, Team 2: Davina and Bob, Team 3: Erik" is one of the combinationsof teams being counted. Perhaps AC|DB|E is a good way to representthese teams. Enumerate all possible combinations of teams and checkyour answer with the appropriate formula.

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Five students are to be allocated into three distinguishable teams. . How many distributions are there? In other words how many different possible sizes can the teams have? (Include empty teams.) e.g. "Team 1 and 2 each have two members and Team 3 has one member" is one of the distributions being counted; perhaps 221 is a good way to represent this distribution. Enumerate (list out) all possible distributions and then check your answer with the appropriate formula.