Question)
In how many rearrangements of the word PREJUDICE, is the letter J positioned in between the 2 Es?
60480
60420
50600
55600
Answers
Answered by
42
Answer:
60480 correct answer is this
Answered by
10
Given:
The word = PREJUDICE
To Find:
Rearrangements where the letter J is positioned in between the two Es
Solution:
Letters in the word PREJUDICE = 5
Vowels in the word PREJUDICE = 4
Repetition of E = 2 times
Thus,
Total arrangements = 9! × 2!
= 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 × 2 × 1
= 1,81,440
When it is positioned between two E's it will be - EJE
Thus, now total letters = 7
= 7!
= 7 × 6 × 5 × 4 × 3 × 2 × 1
= 5040
Answer: The rearrangements are 5040.
Similar questions