Question

Each team can have 3, 4 or 5 people 21 people take part. How many different possible arrangements of teams are there?​

Answer 1

• There are 4 different possible arrangements of teams are there.

Explanation:

Lets understand the situation,

This means Each team can have 3, 4 or 5 people.And 21 people take part.

we have to find How many different possible arrangements of teams are there.

Solution:-

Situation 1.

• if 7 groups of people 3 Team
• 7×3=21.

situation 2.

• if 4 groups of people 4 teams and 1 group of people 5 Team.
• (4×4)+(1×5)=21.

Situation 3.

• if 2 groups of people 3 Team and 3 group of people 5 Team.
• (2×3)+(3×5)=21.

situation 4.

• if 4 groups of people 3 Team and 1 group of people 4 Team And 1 group of people 5 team.
• (4×3)+(1×4)+(1×5)=21.

Answer 2

There are 4 possible arrangements.

There could be:

• 7 groups of 3 people

• 5 groups of 4 people and one group of 5

• 4 groups of 5 people and one group with 6