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.
Answers
Answered by
9
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 !
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