Question #146448
The letters V, W, X, Y and Z are selected at random to form a five letters word without repetition. How many ways can a word be formed such that X and Y follow each?
a.60
b.48
c.12
d.24
1
Expert's answer
2020-11-29T15:52:41-0500

Let's observe one pair X and Y as one object. Now we have 4 objects. The number of permutations of 4 objects is


4!=244!=24

The number of permutations of 2 letters in pair X and Y is


2!=2  (XY  or   YX)2!=2\ \ (XY\ \ or\ \ \ YX)

How many ways can a word be formed such that X and Y follow each?


4!×2!=24×2=484!\times 2!=24\times2=48

b. 48



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