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An ice cream parlor sell ice creams with three different flavors: blue berry, chocolates, and vanilla. How many ways are there to choose a dozen ice creams with at most six vanilla ice creams? (Note: one dozen consists of twelve ice creams).
 one year ago
 one year ago
askquestion Group Title
An ice cream parlor sell ice creams with three different flavors: blue berry, chocolates, and vanilla. How many ways are there to choose a dozen ice creams with at most six vanilla ice creams? (Note: one dozen consists of twelve ice creams).
 one year ago
 one year ago

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wio Group TitleBest ResponseYou've already chosen the best response.1
I would suggest this method: How many ways are there with exactly 0 vanilla How many ways are there with exactly 1 vanilla How many ways are there with exactly 2 vanilla How many ways are there with exactly 3 vanilla ... How many ways are there with exactly 6 vanilla Then I would add them up.
 one year ago

wio Group TitleBest ResponseYou've already chosen the best response.1
To find how many ways with n vanilla, we ask: How many ways to distribute 12n ice creams amongst the 2 other flavors
 one year ago

wio Group TitleBest ResponseYou've already chosen the best response.1
Perhaps something like this?\[ \Large \sum_{n=0}^{6} 2^{12n} \]
 one year ago

wio Group TitleBest ResponseYou've already chosen the best response.1
Hmmm. See any flaws?
 one year ago

askquestion Group TitleBest ResponseYou've already chosen the best response.0
so 1) if a dozen consist the same flavor? chocolate and blueberry = 2 ways 2) if vanilla = 6, so x+ y = 12 , x for chocolates and y for bluberry? until if vanilla = 0 , so x+y = 12 ?
 one year ago

askquestion Group TitleBest ResponseYou've already chosen the best response.0
2) if vanilla = 6, so x+ y = 6 , x for chocolates and y for bluberry? until if vanilla = 0 , so x+y = 12 ?
 one year ago

wio Group TitleBest ResponseYou've already chosen the best response.1
You don't wanna think in terms of x+y=6. We aren't solving for the number of chocolates and blueberry. We are finding the total number of combinations.
 one year ago

wio Group TitleBest ResponseYou've already chosen the best response.1
Can I ask you some questions? You can answer me the best you can.
 one year ago

wio Group TitleBest ResponseYou've already chosen the best response.1
Suppose I gave you a choice between chocolate ice cream and blueberry ice cream... How many choices do you have?
 one year ago

wio Group TitleBest ResponseYou've already chosen the best response.1
I mean options, how many options do you have?
 one year ago

askquestion Group TitleBest ResponseYou've already chosen the best response.0
yeah, i think if x+y = 6 , with times and divide theory, (6+1)! / 6!1! ?
 one year ago

wio Group TitleBest ResponseYou've already chosen the best response.1
Nope, just answer my questions ok? It'll help you get to the solution.
 one year ago

wio Group TitleBest ResponseYou've already chosen the best response.1
If I ask you if you want chocolate or blueberry, how many option do you have?
 one year ago

wio Group TitleBest ResponseYou've already chosen the best response.1
It's not a trick question or anything, you have only 2 options in this case.
 one year ago

askquestion Group TitleBest ResponseYou've already chosen the best response.0
if must a dozen, right?
 one year ago

wio Group TitleBest ResponseYou've already chosen the best response.1
If you are going to get 2 ice creams, and you get to chose a flavor for each, how many options do you have?
 one year ago

wio Group TitleBest ResponseYou've already chosen the best response.1
(We are starting out small and working our way up)
 one year ago

askquestion Group TitleBest ResponseYou've already chosen the best response.0
oooh , if how many flavors?
 one year ago

wio Group TitleBest ResponseYou've already chosen the best response.1
There are 2 flavors, and 2 cones. You get to chose a flavor for each cone. How many possibilities are there?
 one year ago

wio Group TitleBest ResponseYou've already chosen the best response.1
yeah, cause order doesn't matter right?
 one year ago

askquestion Group TitleBest ResponseYou've already chosen the best response.0
ohyeaaah, i got that
 one year ago

wio Group TitleBest ResponseYou've already chosen the best response.1
What about if there are n cones.... how many options?
 one year ago

wio Group TitleBest ResponseYou've already chosen the best response.1
if there are 3 cones... how many options?
 one year ago

askquestion Group TitleBest ResponseYou've already chosen the best response.0
but i think, in my case, the flavor has given,
 one year ago

askquestion Group TitleBest ResponseYou've already chosen the best response.0
so, we must think about the order
 one year ago

wio Group TitleBest ResponseYou've already chosen the best response.1
If you have 6 cones, how many possibilities with 2 flavors?
 one year ago

wio Group TitleBest ResponseYou've already chosen the best response.1
But having a blueberry and a chocolate isn't any different than having a chocolate and a blueberry... this is what is meant by order doesn't matter.
 one year ago

askquestion Group TitleBest ResponseYou've already chosen the best response.0
i thinks its different, if 2 blueberry and 1 chocolates, with 2 chocolates and 1 blueberry
 one year ago

askquestion Group TitleBest ResponseYou've already chosen the best response.0
oke, can give me a time, some bussiness
 one year ago

bintang Group TitleBest ResponseYou've already chosen the best response.0
7+8+9+10+11+12+13=70
 one year ago
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