Math, asked by PragyaTbia, 1 year ago

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 amitnrw
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 ujalasingh385
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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