A) 210
B) 576
C) 1444
D) 1728
Correct Answer: B
Solution :
There are 7 letters in the given word out of which there 3 vowels and 4 consonants. We can mark the positions of the letters as (1), (2), (3), (4), (5), (6), (7). Now, the 3 vowels can be placed at any of the three places out of the four marked 1,3,5,7. So, the number of ways of arranging the vowels \[{}^{4}{{P}_{3}}=4\times 3\times 2=24\] Also, the consonants at the remaining 4 positions can be arranged in \[{}^{4}{{P}_{3}}=4!=24\,\,\] ways Required no. of ways = (24 \[\times \] 24) = 576
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