I have a very little knowledge in abstract algebra and want to know what does the problem actually mean.
I encountered this question in the official test
$\text{Graduate Record Examination - Math Subject Test (GR1768) Problem No. 49}$
Which says:
$\text{What is the largest order of an element in the group of permutations of $5$ objects?}$
$\text{(A) }5 \space\space\space\space\space \text{(B) }6 \space\space\space\space\space \text{(C) }12 \space\space\space\space\space \text{(D) }15 \space\space\space\space\space \text{(A) }120$
Choice $\text{(B)}$ is the correct one. I do not know how.
Actually I do not want only to know how to solve this, but to understand the theory behind it (in a very simple way).
Could anyone suggest a good reference for this, please?
Or, if possible, to explain briefly the (meaning) of this question.
Note: I already saw this, but could not help much.
Your help would be appreciated. THANKS!