How many ways can 4 letters be posted in 3 letter boxes?

Since each letter can be posted in any one of the three letter boxes. So, a letter can be posted in 3 ways. ∴ Total number of ways in which all the 4 letters can be posted =3×3×3×3=34=81.

What is the no of ways in which one can post 5 letters in 7 letter boxes?

Hence the total number of ways = 2520.

How many ways can 5 different balls be distributed among three boxes?

∴ Total number of ways to distributed 5 different balls in three boxes =3×3×3×3×3=243.

What is the no of ways in which one can post 5 letters?

How many ways can 5 numbers be arranged?

120 ways
So we say that there are 5 factorial = 5! = 5x4x3x2x1 = 120 ways to arrange five objects.

How many ways can all the five letters be posted?

Since each letter can be posted in any one of the four letter boxes. So, a letter can be posted in 4 ways. Since there are 5 letters and each letter can be posted in 4 ways. So, total number of ways in which all the five letters can be posted =4×4×4×4×4= 45

How many ways to post a letter in 4 letter boxes?

First letter can be posted in 4 letter boxes in 4 ways. Similarly second letter can be posted in 4 letter boxes in 4 ways and so on.

How many ways can you arrange 3 letters in a box?

Either the two remaining letters go in one of the three boxes ( ( 3 1) = 3 ways), or one letter goes into each of two out of the three boxes ( ( 3 2) = 3 ways). So this case produces 4 ⋅ ( 3 + 3) = 24 arrangements.

How to distribute 5 letters in 5 boxes?

Take the task of distributing the 5 letters and break it into stages. Stage 1: Select a box for the 1st letter to go into. Stage 2: Select a box for the 2nd letter to go into. Stage 3: Select a box for the 3rd letter to go into. Stage 4: Select a box for the 4th letter to go into. Stage 5: Select a box for the 5th letter to go into.