Question

HELP ASAP!!!!!!!! FAN + MEDAL!!!!

Imagine you are the owner of a pizza shop that offers three different types of crust, seven different toppings, and three different cheeses. Create an ad for your shop with 1 crusts, 3 toppings, 1 cheese. In your ad emphasize a special where any three topping pizza with one type of cheese and one type of crust only $9.99. Complete this statement and include it on your ad: "For this special we offer _______ different pizza choices for you to choose from!"

Answer 1

Answer the following questions:
Of the possible combinations you offer, which is your favorite? What is the probability that a person would order your favorite pizza at random?

Answer 2

hang on

Answer 3

ok

Answer 4

what are the choices?

Answer 5

if there are any

Answer 6

no chioces

Answer 7

wait no you do 3*7*3 because the 7=the toppings 3 and 3 = the cheeses and the crust

Answer 8

multiply it together what doyou get?

Answer 9

63 combos?

Answer 10

that should be it

Answer 11

that should be the amount of pizza combos that you can make

Answer 12

ok thanks can you help me figure out the rest?

Answer 13

ill try :P im not the best but sure

Answer 14

ok :) i just need help with the last question

Answer 15

k

Answer 16

What is the probability that a person would order your favorite pizza at random?

Answer 17

ohh probability my worst enemy xD Ill try

Answer 18

my favorite pizza is pepperoni with mozzarella cheese and garlic crust *not really my fave but ill stick with it* lol

Answer 19

ok well you have 1 combination that is your favorite right?

Answer 20

yes

Answer 21

well there can ONLY be 1 combo thats your fav

Answer 22

yup and?

Answer 23

i guess we have to do 1/63?

Answer 24

ok so what would be the probability that a random person will order the exact combo

Answer 25

that looks correct let me just make sure :)

Answer 26

ok

Answer 27

Ok from the looks of it to me, 1/63 is correct because there is 1 combo ONLY and that 1 out of the 63 combos someone will order that

Answer 28

May sound kinda confusing but that outa do it :P

Answer 29

sorry if im wrong probability is the hardest for me

Answer 30

me too its ok

Answer 31

okays

Answer 32

lets make sure @kidrah69

Answer 33

ok

Answer 34

im gonna check my question real quick brb

Answer 35

kk

Answer 36

@whpalmer4 @Holly00d1248 @FibonacciChick666 @King.Void. @Daniellelovee @urbanmorgans @Phebe

Answer 37

hmm no one yet?

Answer 38

can you help with this question? What is the probability that a person would order your favorite pizza at random? We think its 1/63

Answer 39

@iGreen @Preetha

Answer 40

brb gonna get a mouse and try something real quick

Answer 41

kk

Answer 42

They offer 6 different choices

Answer 43

yep 6

Answer 44

think of it this way start with the first crust and theres only one chease to choose from and three topings to choose from so that means theres 3 different pizzas you can mke now the second crust is the same way seeing it now @Anon101

Answer 45

ok so what now?

Answer 46

i don't really get probability...

Answer 47

thats your answer i think

Answer 48

1/63?

Answer 49

@amistre64

Answer 50

theres alot of stuff going on in this post, what do you need?

Answer 51

i just need to understand What is the probability that a person would order your favorite pizza at random?

Answer 52

@Legends Can you help buddy

Answer 53

3 different types of crust,
7 different toppings,
3 different cheeses.

Create an ad for your shop with 1 crusts, 3 toppings, 1 cheese.

In your ad emphasize a special where any three topping pizza with one type of cheese and one type of crust only $9.99.

how do we determine the number of pizzas we can make? and does each pizza need to be 3 toppings?

Answer 54

can i have say: garlic crust, cheddar cheese, and say 3 pepperonis as the 3 toppings?

or do i have to pick 3 different toppings?

Answer 55

maybe its asking to do a special for a pizza with 1 crust 3 toppings and 1 cheese for $9.99

Answer 56

i think it has to be different toppings

Answer 57

well, we have 3*3 different crust and cheese varieties

if pepperoni, sausage, and olives is the same choice regardless of order ... we have 7 choose 3 toppings for each of the 9 cheese crust varieties

right?

Answer 58

Im sorry @Holly00d1248 I dont get this one bro.

Answer 59

ya see the 3*7*3 seems to be correct

Answer 60

what he said ^^

Answer 61

its not correct

Answer 62

mm

Answer 63

i dont get it

Answer 64

right there with ya now lol

Answer 65

there are 3*7*3 different one topping, one crust, one cheese

Answer 66

\[\binom31\binom73\binom31 \]

Answer 67

so 3*7*3 1*3*1

Answer 68

7 choose 3 = (7 pick 3)/3!

have you learned your combinatorics yet?

Answer 69

i know permutations

Answer 70

same thing i beleive

how do we choose 3 out of 7?

Answer 71

7*6*5?

Answer 72

almost, if order matters, then that is correct.

if order does not matter, we are 3! to many.

Answer 73

not 'too many' but we have a multiple of 3! to many .... if order doesnt matter

7 pick 3 = 3!, times (7 group 3)

we want 7 group 3

Answer 74

what does 7 group 3 mean?

Answer 75

7 group 3 = 7.6.5/3.2.1 = 7.5

Answer 76

it means we want groups of 3 so that order doent matter

Answer 77

ohh so it mean 7!/3!?

Answer 78

not quite
\[\frac{7!}{3!(7-3)!}\]

Answer 79

\[7*6*5 = \frac{7!}{4!}\]
\[\frac{7*6*5}{3!} = \frac{7!}{3!~4!}\]

Answer 80

do i have to solve it?

Answer 81

7 pick 3 is counting arrangements, order of elements matter. it is too large of a count.

7*6*5 is too big since it is counting (abc) as different then (bca)

we need to reduce it, but how?

well there are 3! ways to arrange 3 elements. which means we are 3! times to much

Answer 82

ohh ok

Answer 83

if i have 33, and im 3 times too much ... divide by 3

Answer 84

so... 33/3=11?

Answer 85

in my example yes, but thats just an example

apply it to your case

Answer 86

7*6*5 ordered arrangements; is 3! times, too much

7*6*5/3! is the number of ways to order our toppings

Answer 87

so 210/3?

Answer 88

3! = 6 by the way ...

Answer 89

3*6*5 / 6 = 7*5

Answer 90

oh sorry

Answer 91

well, if my fingers will behave ... 7*6*5/6 = 7*5

Answer 92

35

Answer 93

the fin al equation would be 210/6=35 right?

Answer 94

good

35 ways to order 9 (crust/cheese) combinations :)

35*9 different pizzas can be ordered

Answer 95

and yes

Answer 96

35*9=315 different combos