Help with a comparation problem

[EconJames]

Col A: number of prime factors of 300
Col B: number of prime factors of 500
I want to know whether the "number of prime factors" the same with "number of different prime factors". Thanks for your help!

[chestnut.cc]

only the latter makes logical sense... in this case... 5,3,2... and 5,2... hence... A

[e.cartman]

Hmm... I would agree with chestnut. But I remember seeing powerprep questions that mention "distinct" or "different" or "set of"... If they are consistent in how the frame questions, the right answer would have to be C. But not sure about that.

[EconJames]

Thanks for your comments. The term "number of prime factor" is ambiguous. But I still want to know if this kind of question indeed appear in the real exam, what choice would you make? A or C?

[e.cartman]

If it does appear, I would base it on the question number.
Q <= 10, I would mark A. Between 10 and 20 C, between 20 and 28, A again. (May be I sound religious, but I am not)

[mystic87]

Here's another comparison questions:

Seven one-dollar bills are to be distributed among 3 earthlings so that each person receives at least $1.

Column A:the number of ways to distribute the bills so taht at least one person receives at least $3

Column B: the total number of ways to distribute the bills

Spoiler:: C ::

[mystic87]

I want to know whether the "number of prime factors" the same with "number of different prime factors".

I would say it doesn't. If it's phrased as "number of prime factors" then i think based on other questions i've seen it means how many prime factors it has. So my answer would be C.

the only thing different between 300 and 500 is the prime factors 3 and 5. other than that, both have 100 so the number of prime factors of 100 is the same for both.

[Goldust]

Here's another comparison questions:

Seven one-dollar bills are to be distributed among 3 earthlings so that each person receives at least $1.

Column A:the number of ways to distribute the bills so taht at least one person receives at least $3

Column B: the total number of ways to distribute the bills

Spoiler:: C ::

Try and find any way of distributing the bills so that NO person receives $3 or more. Impossible, right? Hence, in any way of distribution, at least one person is going to get at least $3

[prithibi]

when the question appeared in our text book how many factors are there in 32 then we were taught 6.

so number of prime factors and number of different prime factors are not same.

[prithibi]

seven-one dollar prblm
answer: B
m i wrong? someone explain por favor, el señor