The number of ways in which the letters of the word TRIANGLE can be arranged such that two
vowels do not occur together is
(a) 1200
(b) 2400
(c) 14400
(d) None of these
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d the answer hope you useful this answer
Answered by
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Answer:
Let me see,
There are 5 consonants which can be placed in 5!
Meaning 5 x 4 x 3 x 2 x 1 = 120 ways
And there are 3 vowels which can be placed in 6P3
meaning 6! Divided by 3!
=6×5×4×3!/3!
=6×5×4
= 120 ways
Therefore, total number of ways = 120 x 120 = 14,400 ways
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