Fiona chooses three towels from a group of five to...

Question

Fiona chooses three towels from a group of five to pack in her beach bag for herself and her two brothers. Let the five towels be represented by A,B,C,D, and E.

If Fiona chooses towel A for herself, which statements about the possible outcomes for her brothers’ towels are true? Select three options.

Answer 1

Out of the 5, she has picked hers. 4 are now left, out of which 2 are to be picked. First one can be picked in 4 ways and second in 3 ways. Hence 4*3=12 ways.....this is by logic.

By formulae:

Permutation is always an arrangement and combination is a selection. This problem pertains to order/arrangement/permutation. Hence, by formula, it is 4P2 = 4!/2! = 12 again.