How many 5-letter words with or without meaning
containing 3 vowels and 2 consonants can be formed
using the letters of the word EQUATION so that the
vowels and consonant occur together?
Answers
Answered by
0
Answer:
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Step-by-step explanation:
There are 5 vowels and 3 consonants in the word 'EQUATION'. Three vowels out of 5 and 2 consonants out of 3 can be chosen in 5C3×3C2 ways. So, there are 5C3×3C2 groups each containing 3 consonants and two vowels. Now, each group contains 5 letters which are to be arranged in such a way that 2 consonats occur together. Considering 2 consonants as one letter we have 4 letters which can be arranged in 4! ways. But two consonants can be put together in 2! ways. Therefore, 5 letters in each group can be arranged in 4!×2! ways.
∴ Required number of words =(5C3×3C2)×4!×2≠1440
Answered by
0
Answer:quate
quant
quean
quote
unite
Step-by-step explanation:
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