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?
To find the number of different sets of 4 Lego people that can be created from the pieces, we need to calculate the combinations.
Since each Lego person consists of 1 set of legs, 1 torso, and 1 head, we can choose 1 leg from the available set of legs, 1 torso from the available set of torsos, and 1 head from the available set of heads.
The number of different sets for each body part is as follows:
- Number of legs: 1 (since we choose 1 set of legs)
- Number of torsos: 1 (since we choose 1 torso)
- Number of heads: 1 (since we choose 1 head)
To find the total number of combinations, we multiply the number of choices for each body part:
Total number of sets = Number of legs * Number of torsos * Number of heads
= 1 * 1 * 1
= 1
Therefore, regardless of the number of available Lego pieces, there is only 1 unique set of 4 Lego people that can be created from the given pieces.