Thread View: k12.ed.math
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Started by Henry Choy
Wed, 27 Jan 1993 22:51
Fun for algebra people
Author: Henry Choy
Date: Wed, 27 Jan 1993 22:51
Date: Wed, 27 Jan 1993 22:51
40 lines
1528 bytes
1528 bytes
Take any n positive numbers x1,...,xn such that their product is 1.
Prove that their sum is greater than or equal to n. On what conditions
would the sum be n?
Prove that
n + n + ... + n = 2^n
0 1 n
where
n
m
means n choose m and 2^n means 2 to the exponent n.
n choose m means the number of different subsets of m elements that
can be chosen or constructed from a set of n elements. Show that
n!
n choose m = n = ---------
m m! (n-m)!
where p! means 1 x 2 x ... x p (those are multiplication signs, not
the letter x).
--
Henry Choy
choy@cs.usask.ca
What rolls down stairs alone or in pairs This has been brought to
Rolls over your neighbor's dog? you by the numbers 4
What's great for a snack and fits on your back? and 9 and the letter P.
It's Log, Log, Log! -- "The Log Song", from -- Big Bird
Ren & Stimpy
Math is tough! -- Barbie
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