Question

In how many ways can the letters of the word `STORY' be arranged, so that
(a) T and Y are always together.
(b) T is always next to Y.

Answer 1

Answer:

(a) 48

(b) 24

Step-by-step explanation:

Hi,

Given word STORY, in which there are 5 distinct letters

(a)

If T and Y are always together, we can treat TY combination

as 1 and the rest 3 distinct letters , so in total all these

4 can be arranged in 4! ways = 24 ways and T and Y

can be interchanged their positions among themselves in

2! ways, hence total number of ways are 24*2 = 48.

(b)

If T is always next to Y, then YT combination should come,

So treating YT as 1 and the rest 3 distinct letters,

all these 4 can be arranged in 4! different ways = 24

Hope, it helps !