How many ways can 3 students be arranged into 3 chairs?
Since order doesn't matter, if one student can go to any seat, then there are 3 ways to sit a student in one chair. Thus, there are 3*3*3=27 ways to arrange 3 students into 3 chairs by the Fundamental Counting Principle.
the same student cannot be in more than one chair at a time.
There are 3! ways to arrange 3 things
there are 18 chance to this three students to sit on the three chairs
because s1 is 1st chair the other two students are two chance to sit on the rest chairs each the same to this 2nd chair so
= 1+1 +1+1 +1+1 +1+1 +1+1 +1+1 +1+1 +1+1 +1+1 = 18
To find the number of ways 3 students can be arranged into 3 chairs, we can use the concept of permutations.
Permutations calculate the number of ways objects can be arranged in a specific order.
In this case, we have 3 students and 3 chairs. To solve this problem, we can start by determining the number of choices for the first chair. Since there are 3 students, any one of them can be seated in the first chair.
After placing a student in the first chair, we move on to the second chair. Now, we have 2 students remaining since one has already been placed in the first chair. So, there are 2 choices for the second chair.
Finally, for the third chair, only one student is left to be seated after the first two have been placed. So, there's only 1 choice for the third chair.
To calculate the total number of arrangements, we multiply the number of choices for each chair together:
Number of arrangements = 3 choices for the first chair × 2 choices for the second chair × 1 choice for the third chair
Number of arrangements = 3 × 2 × 1 = 6
Therefore, there are 6 different ways to arrange 3 students into 3 chairs.