Question-46

In how many different ways can the letters of the word `MACHINE’ be arranged so that the vowels will occupy only the even positions and the consonants will occupy only the odd positions\(?\)

• \(7!\)

• \(4! \times 3!\)

• \(4! \times 4!\)

• \(4! \times 5!\)

Hint

\(n\) distinct things can be arranged in \(n!\) different ways.

Answer

• \(7!\)

• \(4! \times 3!\)

• \(4! \times 4!\)

• \(4! \times 5!\)

Solution