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All the letters of the word 'AGAIN' be a...

All the letters of the word 'AGAIN' be arranged and the words thus formed are known as 'Simple Words'. Further two new types of words are defined as follows:
(i) Smart word: all the letters of the word 'AGAIN' are being used, but vowels can be repeated as many times as we need.
(ii) Dull word: All the letters of the word 'AGAIN' are being used, but consonants can be repeated as many times as we need.
Q. Number of 7 letter smart words is a. 1500 b. 1050 c. 1005 d. 150

A

1500

B

1050

C

1005

D

150

Text Solution

Verified by Experts

The correct Answer is:
B

`therefore`Number of 7 letter smart words
`=(7!)/(4!)=(7!)/(2!3!)+(7!)/(3!2!)=210+420+420=1050`
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