Discussion

Explanation:

Let’s first arrange the remaining letters i.e., J, R, N, and Y

Number of ways of arranging these 4 letters = 4! = 24 ways.

Let’s take one of these arrangements as J R N Y.

Now we have 5 places to arrange the remaining 3 vowels i.e., | J | R | N | Y|.

Hence, 3 vowels can be arranged in 5 places in 5 × 4 × 3 = 60 ways.

∴ Total number of words that can be formed such that no two vowels are together = 24 × 60 = 1440.

Hence, 1440.

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