Math Is Fun Forum

Transcending

Member

Registered: 2015-06-15

Posts: 12

Combinations and Permutations

A property developer can build four different house sizes on a street. The first house size takes up one lot, the second house size takes up two lots, the third house size takes up three lots and the fourth house size takes up four lots. If a street measures four lots, the developer can develop the street in eight different combinations:

In how many different ways can the developer build the houses if the street measures 20 lots?

A•     387 954
B•     253 971
C•     283 953

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Combinations and Permutations

Hi;

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Agnishom

Real Member

From: Riemann Sphere

Registered: 2011-01-29

Posts: 24,996

Website

Re: Combinations and Permutations

Qudrinacci Section.

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'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.