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IPMAT Indore 2022 - QA (MCQ) Q40 Explanation
December 28, 2024
Explanation:
(c)
MANAGEMENT.
This word has 4 vowels (2A’s and 2E’s).
and 6 consonants (2M’s, 2N’s one G & one T).
_ M _ N_G_M_N_T_
We will arrange all the consonants first. It can be arranged in 6! 2!×2! =720 4 = 180 ways
Now 4 vowels can be arranged in the 7 spaces (blanks) as shown by in the figure.
That way, no two vowels will come together.
This can be done in 7P4/2! = 7!//3! x 2! x 2! = 7 x 6 x 4 x 5 x 3! x 2 x2
= 7 x 6 x 5
= 210 ways
Total ways = 180 x 210 = 38000.
Is which no two vowels will come together.