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Bunuel
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In a steamer, there are stall for 12 animals and there are horses, cow 09 Dec 2020, 07:00
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E
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55% (hard)

Question Stats:

54% (01:25) correct 46% (01:50) wrong based on 127 sessions

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In a steamer, there are stall for 12 animals and there are horses, cows and calves (not less then 12 each ) ready to be shipped. In how many ways can the ship load be made?

A. 91
B. 12^3 - 1
C. 12^3
D. 3^12 - 1
E. 3^12
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E
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In a steamer, there are stall for 12 animals and there are horses, cow 09 Dec 2020, 08:31
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Bunuel
In a steamer, there are stall for 12 animals and there are horses, cows and calves (not less then 12 each ) ready to be shipped. In how many ways can the ship load be made?

A. 91
B. 12^3 - 1
C. 12^3
D. 3^12 - 1
E. 3^12
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Simply \(r^n = 3^{12}\), Answer must be (E)
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In a steamer, there are stall for 12 animals and there are horses, cow 09 Dec 2020, 09:33
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Given: In a steamer, there are stall for 12 animals and there are horses, cows and calves (not less than 12 each ) ready to be shipped.
Asked: In how many ways can the ship load be made?

Number of ways the ship load be made = 3^12

IMO E
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In a steamer, there are stall for 12 animals and there are horses, cow 13 Dec 2020, 11:51
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Hi Kinshook, not getting how we are arriving at 3 ^ 12 . ?
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In a steamer, there are stall for 12 animals and there are horses, cow 14 Dec 2020, 05:11
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Bunuel
In a steamer, there are stall for 12 animals and there are horses, cows and calves (not less then 12 each ) ready to be shipped. In how many ways can the ship load be made?
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Bunuel IanStewart how do we solve this question?
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In a steamer, there are stall for 12 animals and there are horses, cow 14 Dec 2020, 10:33
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Bunuel
In a steamer, there are stall for 12 animals and there are horses, cows and calves (not less then 12 each ) ready to be shipped. In how many ways can the ship load be made?

Bunuel IanStewart how do we solve this question?
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The wording of the question could be better, but the idea is that we have 12 stalls, and for each stall, we have 3 choices: put a horse, a cow, or a calf in the stall. Since we have 3 choices each time for the twelve stalls, multiplying our choices, there are 3^12 options in total.
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In a steamer, there are stall for 12 animals and there are horses, cow 14 Dec 2020, 20:10
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That really cleared things up, I can't believe it was that simple :lol: Thanks Ian!
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