# Math (Combinatorics)

posted by .

Six boxes labeled 1,2,…,6 are arranged in a line. Seven identical balls are to be placed into the boxes such that for any 1 ≤ k ≤ 6, there are at least k total balls amongst boxes 1,2,…k. How many different placements of the balls into the boxes are possible?

## Similar Questions

1. ### probability

A total of n balls are to be put into k boxes with conditions that there will be n1 balls in box 1 ,n2 balls in box2 and so on. With nkballs being placed in box k(n1+…..+nk = n)Explain why the number of ways of doing this is n!/n1!*….*nk!. …
2. ### math

You have seven balls labelled 1,2,…,7 and seven unlabelled, indistinguishable boxes. How many different ways can the balls be placed into the boxes?
3. ### Maths

You have seven balls labelled 1,2,…,7 and seven unlabelled, indistinguishable boxes. How many different ways can the balls be placed into the boxes?

How many ways are there to put 4 balls in 3 boxes if the balls are distinguishable but the boxes are not?
5. ### Math

Three boxes each contain a number of billiard balls. One box contains only even-numbered balls, one box contains only odd numbered billiard balls, and the third box contains a mixture of odd and even numbered balls. All the boxes are …
6. ### kapahi

In a beg with 8 red balls and 11 blues balls how many 5 balls boxes can be chosen those have 4 blue balls?
7. ### Math

Tom has 5 boxes of balls. Each box contains x balls. His father gives him another 8 balls. Find the total number of balls Raul has in terms of x
8. ### Math

How many ways are there to put 6 balls in 3 boxes if the balls are distinguishable but the boxes are not?
9. ### Maths

Asmo is putting some ping pong balls into 10 boxes. In each of the boxes, number of ping pong balls shall not be less than 11, not equal to 17 and is not the multiple of 6. If the number of ping pong balls are different in each box, …
10. ### math

six bags of baseballs weigh 0.5 kilograms each. The balls are then packed into 10 boxes. What is the total mass of the six bags of baseballs?

More Similar Questions