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LyraElizabethAdams
Group Title
I need some help, please! :) . . .
"Explain why the following sentences are INCORRECT: John has 3 suits, 10 shirts, and 12 neckties. He will need to buy some more clothes if he wants to come to work each work day in a different outfit for a whole year."
 2 years ago
 2 years ago
LyraElizabethAdams Group Title
I need some help, please! :) . . . "Explain why the following sentences are INCORRECT: John has 3 suits, 10 shirts, and 12 neckties. He will need to buy some more clothes if he wants to come to work each work day in a different outfit for a whole year."
 2 years ago
 2 years ago

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wio Group TitleBest ResponseYou've already chosen the best response.1
We can assume that an outfit would just be the combination of a suit, shirt, and necktie. When tasks are done in parallel (you must do one task or the other), then their sum is the total number of combinations. When tasks are done in sequence (you must do all tasks), then their product is the total number of combinations.
 2 years ago

wio Group TitleBest ResponseYou've already chosen the best response.1
In this case, it is a sequence of tasks. So we multiply the number of ways to do the task.
 2 years ago

wio Group TitleBest ResponseYou've already chosen the best response.1
The only ambiguity here is if he can go to work without a tie, shirt, or suit. In that case, we could add 1 to each task.
 2 years ago

LyraElizabethAdams Group TitleBest ResponseYou've already chosen the best response.0
Okay, I do understand that part. Here's where I'm confused, though. Should I do: (3)(10)(12) = 360? or should it be 360C3 (because you have a total of 360 choices, but you can only choose 3 per day?
 2 years ago

wio Group TitleBest ResponseYou've already chosen the best response.1
It is NOT 360 choose 3. We would use 360 choose 3 if he had 360 articles of clothing, and any combination of 3 articles is an outfit.
 2 years ago

LyraElizabethAdams Group TitleBest ResponseYou've already chosen the best response.0
Why doesn't John choose 3?
 2 years ago

wio Group TitleBest ResponseYou've already chosen the best response.1
Because he can't do something like wear 3 shirts and call that an outfit.
 2 years ago

LyraElizabethAdams Group TitleBest ResponseYou've already chosen the best response.0
Oh, I see. Oh, so should I do either 25C3 or 25P3 ?
 2 years ago

wio Group TitleBest ResponseYou've already chosen the best response.1
No, it is not a complicated problem like that. It's just multiplication.
 2 years ago

LyraElizabethAdams Group TitleBest ResponseYou've already chosen the best response.0
Oh, okay. So just (3)(10)(12) = 360 ?
 2 years ago

wio Group TitleBest ResponseYou've already chosen the best response.1
The only detail that is important is if he can do something like NOT wear a necktie or NOT wear a suit.
 2 years ago

wio Group TitleBest ResponseYou've already chosen the best response.1
because that would mean we'd have something like (3+1)(10+1)(12+1)
 2 years ago

LyraElizabethAdams Group TitleBest ResponseYou've already chosen the best response.0
Okay, I'll remember that.
 2 years ago

wio Group TitleBest ResponseYou've already chosen the best response.1
But if he must have all three, then yes, 360 is correct.
 2 years ago

LyraElizabethAdams Group TitleBest ResponseYou've already chosen the best response.0
Okay, great  thanks so much! :D
 2 years ago

campbell_st Group TitleBest ResponseYou've already chosen the best response.0
ok by the fundamental theorem of counting John has 3 x 10 x 12 = 360 possible clothing combinations... assuming he works 365 days a year he is 5 combinations short...
 2 years ago
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