Question

How many words, with or without meaning can be formed using all the letters of the word EQUATION, using each letter exactly once?

a) they may start end with the constant b) O and A should not come together​

Answer 1

Answer:

We have to separate the consonants and vowels and consider each time the set of the consonants and vowels as a single letter.

now,

here, word is E Q U A T I O N

vowels —> E , U, A , I , O ( there are five vowels in given words )

consonants—> T, Q , N ( there are 3 consonants in given words )

the vowels can be arranged in 5! ways

the consonants can be arranged in 3! ways

These vowels and consonants ( when we take as a single letter )can be arranged 2! ways .

hence, a/c to fundamental principle of counting

total number of ways =5!×3!×2!

=(5×4×3×2)×(3×2)×(2)

=120×6×2

=1440

Step-by-step explanation:

I hope its help you.

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