Permutation and Combination- The harderst.

Vishal

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Nov 30, 2015
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we have 4 different types of bricks. First of 1 cm, Second of 2 cm, third of 3 cm, forth of 4 cm. How many different ways can they be used to consturct a wall of 20 cms. A brick can be used any number of times. with formula please
 
we have 4 different types of bricks. First of 1 cm, Second of 2 cm, third of 3 cm, forth of 4 cm. How many different ways can they be used to consturct a wall of 20 cms. A brick can be used any number of times. with formula please

What are your thoughts?

Please share your work with us ...even if you know it is wrong

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we have 4 different types of bricks. First of 1 cm, Second of 2 cm, third of 3 cm, forth of 4 cm.
What do these lengths mean? Bricks are three-dimensional objects, so they should have lengths in three directions. Are we to assume that all the bricks have the same depth? This would be reasonable for constructing a wall. Should we also assume that they have the same height, so all that matters is the length of bricks in a given course? So all the bricks are stretchers, rather than soldiers or headers?

How many different ways can they be used to consturct a wall of 20 cms.
Walls, by definition, are going to have widths and heights. Does the above mean to ask "in how many different ways can these sized bricks be used to construct a course in a wall that is twenty centimeters wide?"

A brick can be used any number of times.
Do you mean that a certain size of brick and be used any number of times? Because a given brick can be used only once.

with formula please
We'll be glad to use the formula you're supposed to use, but you'll need to provide that for us. Or are you asking us to create a formula for you?

Either way, when you reply, please include a clear listing of your thoughts and efforts so far. Thank you! ;)
 
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