TSI Math: Using Combinations to Select Pizza Toppings
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What would we need to use to find the number of ways we could pick 3 toppings for a pizza given 10 choices?
Data Analysis, Statistics, and Probability | Probabilistic Reasoning |
Mathematics and Statistics Assessment | Probabilistic Reasoning |
Product Type | TSI |
TSI | Mathematics and Statistics Assessment TSI Math TSI Mathematics |
TSI Math | Data Analysis, Statistics, and Probability |
TSI Mathematics | Data Analysis, Statistics, and Probability |
Test Prep | TSI |
Transcript
larger one like the three toppings we want from that
ten topping choices were often trying to determine how many
ways we can pick the smaller group The issue we
have to deal with before we can find the actual
different number of ways to choose our smaller group is
whether the order we choose the items in the smaller
group matters like think about it If you were picking
from a deck of cards the size of that debt
goes from fifty two to fifty one fifty forty nine
so the odds then change on the margin each time
you make a pick So if the order we picked
the items in this problem in the smaller group matters
will end up with loads more options than we will
then if the order doesn't matter if order does matter
like we chose pepperoni green olives and pineapple as our
three well we can also choose green olives pepperoni and
pineapple or pineapple green olives and pepperoni And so on
each of those different ordering sze of the same three
ingredients would be a whole new option We call these
permutations the shortcut simple is npr where n is the
size of the large group and our is the size
of the smaller group and p is well just probability
of what's going on there If order doesn't matter well
then we just get the one option with those three
toppings To get a new option we'd need to toss
out a topping the pineapple get rid of that on
a pizza what they're doing and replace it with something
else like black olives Yeah we call these combinations The
shortcut symbol is n c r where ends the size
of the large group and ours the size of the
small group it's pretty clear order doesn't matter in this
case as it doesn't matter if we choose pepperoni before
green olives or after they all end up in the
same slice and you know in the same place since
this is a combination will need the symbol ten c
three to represent all of our different three items pizzas
so that's it that's the answer at sea Ten c
three