Question

in how many different ways can letter 'extra' be arranged so that vowels are never together.​

Answer 1

Answer:

Number of words each having vowels together = 24 x 2 = 48 ways. Total number of words formed by using all the letters of the given words = 5! = 5 x 4 x 3 x 2 x 1 = 120. Number of words each having vowels never together = 120-48 = 72.

Answer 2

Question ⤵️

In how many different ways can letter 'extra' be arranged so that vowels are never together.

Answer ⤵️

Number of words each having vowels together = 24 x 2 = 48 ways. Total number of words formed by using all the letters of the given words = 5! = 5 x 4 x 3 x 2 x 1 = 120. Number of words each having vowels never together = 120-48 = 72.

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Step-by-step explanation:

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