Flashcards
2021-10-13
What is the expression for the number of ways you can arrange $AABBB$??
$$ \frac{5!}{2! \times 3!} $$
What is the expression for the number of ways you can arrange $AAAABBBCC$??
$$ \frac{9!}{4! \times 3! \times 2!} $$
What is the expression for the number of ways you can arrange $A^x B^y C^z …$ (where $x$, $y$ and $z$ denote repetitions)??
$$ \frac{(x + y + z)!}{x!y!z!} $$
What’s the fastest way to show one number isn’t divisible by another??
The bus stop method.
If you’re struggling to show one number is divisible by another big-ish number, how could you simplify the problem??
Show that one of the prime factors of the big-ish number doesn’t divide.
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date: 2021-10-13 16:09
summary: what is always true about recursively applying these two functions?
tags:
- '@?public'
- '@?mat'
- '@?notes'
- '@?maths'
title: MAT - Paper 2016 - Q2