How many words, with or without meaning, can be formed using all the letters of the word EQUATION at a time so that the vowels and consonants occur together?
Answers
Answered by
8
Answer:
1440 Words can be formed
Step-by-step explanation:
in EQUATION
There are 5 Vowels E , U A I O
& there are 3 consonants Q , T & N
5 Vowels can be arranged in 5! ways = 120
& 3 Consonant can be arranged in 3! Ways = 6
Group of consonants & vowels can be arranged in 2! = 2 Ways
= 120 * 6 * 2
= 1440
1440 Words can be formed
Answered by
2
Answer:
1440 words can be formed.
Step-by-step explanation:
In this question,
In the word "EQUATION"
There are 5 Vowels in the word EQUATION = E, U, A, I, O
and there are 3 consonants = Q, T & N
5 Vowels can be arranged in 5! ways = 120
and 3 Consonants can be arranged in 3! Ways = 6
Group of consonants and vowels can be arranged in 2! = 2 Ways
= 120 × 6 × 2
= 1440
Therefore, the total of 1440 Words can be formed
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