<br />1. How many words can be formed by thegetters of the words<br />POLYHEDRA if 121 y 29 lb<br />(1) the vowels do not come together?<br />() no two vowels come together?<br /><br />
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Answer:
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Answer:
332640 ways
Step-by-step explanation:
Given
Word to be arranged = POLYHEDRA
in POLYHEDRA
Number of vowel (O,E and A)=3
Number of consonants = 6
total number of alphabet = 9
To find arrangements of alphabet when vowel is not together can be arranged first we have to arrange the vowel together .
OEAPLYHDR
Take OEA at unit place
Now total alphabet = 7
arrangements = 7!3!
Now
Number of arrangement of alphabet of word POLYHEDRA =9!
Number of way the vowel alphabet not arrange together = 9! - 7!3!
= 7!(72 - 6)= 7!*66 = 5040*66= 332640 ways
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