Question

Many newspapers carry a certain puzzle in which the reader must unscramble letters to form words. how many ways can the letters of whyrot be​ arranged? identify the correct​ unscrambling, then determine the probability of getting that result by randomly selecting one arrangement of the given letters.

Answer 1

Step-by-step explanation:

There are six unique letters.  Any of the six could be the first letter.  Once we've picked a first letter, that leaves 5 letters that could go second.  So on and so forth.  So the number of ways they can be arranged is:

6×5×4×3×2×1 = 720

The correct unscrambling is "worthy".  So the probability of randomly selecting this order from the 720 possible combinations is 1/720.