FCP
A branching visual aid that shows all possible outcomes of two independent (not related) events.
What is a tree diagram ?
The number of choices available to you for each of the different possible arrangements (looking for a variable from the general formula here).
What is the variable n ?
The result when evaluating 4! .
What is 4x3x2x1 ?
What is 24 ?
Free!
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The "nickname", alias or other common term for combinations.
What is choose ?
Free!
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The total number of possible five-digit passcodes using the numerals 0 - 9 with repetition allowed.
What is 10x10x10x10x10 ?
What is 105 ?
What is 100,000 ?
The result when evaluating
(6!)/(4!)
What is 6x5 ?
What is 30 ?
The term mathematicians use to describe the number of selections made from a group of items, when the order of these selections matters.
What is a permutation ?
The number of three (3) topping pizzas you can create from 10 choices in topping if no topping can be repeated.
What is 10C3 ?
What is
(10!)/((10-3)!(3!))?
What is 120 ?
A store selling three (3) versions of a branded shirt and four (4) versions of a branded pant is curious how many outfits can be created from the two different clothing items.
What is 4x3 ?
What is 12 ?
Free!
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The number of possible ways to order (the number of possible permutations of) a standard deck of 52 cards.
What is 52! ?
Evaluating the expression 8P3 results in the following numerical answer.
What is
(8!)/((8-3)!)?
What is 336 ?
Free!
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Solving for the total number of outcomes possible, a tree diagram breaks out from it's starting point into four (4) branches, then each of those three branches breaks out into six (6) branches, then each of those six branches breaks out into two (2) branches.
What is 4x6x2 ?
What is 48 ?
In the formula for arrangements with repetition, n is the letter representing the number of items available to choose from, while r represents this attribute.
What is the number of items chosen?
What is the number of slots/positions available?
The result when evaluating 0! .
What is 1 ?
If a race with 20 people competing did not result in any ties, there are this many possible permutations of the podium (first, second and third place).
What is 20P3 ?
What is
(20!)/((20-3)!)?
What is 6840 ?
The value of nCr when the number of items chosen is the same as the number of possible items to choose.
What is 1 ?
A restaurant that provides a chef menu is curious how many dinner options customers will have if they offer five (5) appetizers, seven (7) entrees, four (4) sides, and three (3) desserts.
What is 5x7x4x3 ?
What is 420 ?
A person is testing the number of unique sequences they get from a run of 10 flips from a fair coin.
What is 210 ?
What is 1024 ?
The result when evaluating (3!)! .
What is (3x2x1)! ?
What is 6! ?
What is 6x5x4x3x2x1 ?
What is 720 ?
This is the general (expanded) formula for a permutation, using the variables n and r.
What is
(n!)/((n-r)!)?
The number of five (5) card poker hands possible from a standard 52-card deck.
What is 52C5 ?
What is
(52!)/((52-5)!(5!))?
What is 2,598,960 ?