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  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

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Topic review (newest first)

bobbym
2012-12-04 23:51:16

Hi;

Basically, you are just plugging into formulas, check post #5 again.

Jhua4
2012-12-04 23:44:34

bobbym wrote:

Hi;

Post #5 contains all the answers you require.

I see the solutions but could you also post how you got to the solution?

bobbym
2012-12-04 23:35:32

Hi;

Post #5 contains all the answers you require.

Jhua4
2012-12-04 23:25:29

Sorry I meant the following:
The cards are identical and no envelope can be left empty

bobbym
2012-12-04 23:21:21

Hi;

Please hold on I am getting the answers to the problems. I am putting them in post #5. When I have all the computation done, I will explain the methods.


c) cards are identical and no card can be left empty

This question is incorrect.

Jhua4
2012-12-04 23:14:38

Could you explain how you got to that solution please? Thanks!

bobbym
2012-12-04 22:55:52

Hi;

Non negative means 0,1,2,3,4,5 so some boxes can be empty.

a)



ways.

b)



ways.

c)



ways.

Jhua4
2012-12-04 22:46:46

So what exactly is the correct answer for a)? Thanks!

bobbym
2012-12-04 22:42:04

Thats for n1, n2, n3 number of cards in each each envelope..

My formula has some envelopes empty so it is not correct.

Jhua4
2012-12-04 22:31:02

We have learned the following formula for putting distinguishable objects into distinguishable boxes: n!/n1!n2!...nk!

So I'm a little confused as how to apply that formula to the question.

Jhua4
2012-12-04 22:15:31

You have 25 cards, 15 distinguishable envelopes (i.e. envelopes are labeled 1,2,3...,15). You may put any non-negative number of cards into an envelope. In how many ways can you put the 25 cards if
a) the cards are distinguishable (e.g., if each has different message on it)
b) cards are identical
c) cards are identical and no card can be left empty

I can't figure out the answers for this problem. Help is much appreciated!smile

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