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Blast into Math! Mathematical perspectives: all aour mase are melong to us
When we multiply out (a + b) we choose either a or b from each set of parentheses. Use the
n
Binomial Theorem to prove that there are
n!
k!(n − k)!
ways to choose k items out of n total, where n and k are natural numbers with k ≤ n . This
is known as n choose k and is often written
n
k
12. Through the course of this book I have described mathematical concepts the way I see them
using analogies, like onion factorials. What is your perspective? Do you see some of these
mathematical concepts with your own analogies that are different from those presented
here? Explore your mathematical creativity, and experiment with different analogies and
ways to describe the mathematical concepts you have learned in this book.
139
