Miles has 4 Lego people in his Lego town. A Lego person consists of exactly 1 set of legs, a torso, and a head. All of these body parts are distinct. Miles' son comes in and takes apart the Lego people. How many different sets of 4 Lego people can be created from the pieces?
Details and assumptions
You should not form a Lego person from a head, another head and another head.
The order in which the Lego people are formed doesn't matter.
84? if this is correct answer me.
96**
4*4*4=64
To find out how many different sets of 4 Lego people can be created from the pieces, we need to consider the distinct body parts - legs, torsos, and heads.
Since each Lego person consists of 1 set of legs, 1 torso, and 1 head, we can count the number of distinct body parts. Let's assume there are n different legs, m different torsos, and p different heads.
To create a set of 4 Lego people, we need to choose 1 leg, 1 torso, and 1 head for each Lego person. Since the order doesn't matter, we can divide the total count by the number of ways we can arrange the body parts within each Lego person.
The number of ways to choose 1 leg from n legs is n.
The number of ways to choose 1 torso from m torsos is m.
The number of ways to choose 1 head from p heads is p.
Therefore, the total number of different sets of 4 Lego people that can be created is n * m * p.
In this specific case, Miles has 4 Lego people in his Lego town. Assuming he has 4 distinct legs, 4 distinct torsos, and 4 distinct heads, the number of different sets of 4 Lego people that can be created is 4 * 4 * 4 = 64.