Question

an elf, a dwarf, a hobbit, a wizard, and a man are sitting in a line. How many different ways can they sit if the elf and dwarf insist on sitting next to eachother?

Answer 1

is it 48 ways

Answer 2

pack `elf` and `dwarf` in a bag, then you will have just four objects to arrange :

bag, hobbit, wizard, man

Answer 3

you can arrange \(4\) objects in \(4!\) ways
further, the \(2\) items inside bag can be arranged in \(2!\) ways

so the total number of sitting arrangements ways = \(4!*2! = 48\)

Answer 4

thank you!

Answer 5

np