Question

How many four letter words can be made by using the letters of the ${}^{\prime }EQUATIO{N}^{\prime }$ when the repetition of the digits is not allowed?

• A. ${}^8{C}_4$
• B. ${}^8{P}_4$
• C. $8^4$
• D. $24$

Answer 1

Answer: (B)

${}^8{P}_4$

Since the word " EQUATION" has no two alphabets same.

Select any $4$ words from given $8$ alphabets . These $4$ can be arranged among themselves.

${}^8{c}_4\times 4!{=}^8{p}_4$