32.How many words can be formed from the letters of the word 'SIGNATURE' so that the vowels always come together?
A. 720 B. 1440
C. 2880 D. 17280
Answer:
The word SIGNATURE has 9 different letters.
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When, the vowels IAUE are always together, they can be supposed to form one letter.
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Then, we have to arrange the letters SGNTR (IAUE).
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These 6 letters can be arranged in 6P6= 6 ! = 720 ways.
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The vowels (IAUE) can be arranged in 4P4 = 4! = 24 ways.
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Required number of ways
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= (720 x 24)
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= 17280..
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