Question

If the four letter words(need not be meaningful) are to be formed using the letters from the word "MEDI TERRANEAN" such that the first letter is R and the fourth letter is E, then the total number of such words, is?

• A. $\frac{11!}{(2!{)}^3}$
• B. $59$
• C. $110$
• D. $56$

Answer 1

Answer: (B)

$59$

The word MEDI TERRANEAN has

3ES, 2AS, 2NS, 1M, 1D, 1I, 1T

We need words of the form R--E

If two letters are same, we can have 3 ways.

REEE

RAAE

RNNE

If two letters are different, we can choose them in ${}^8{C}_2$ ways

we use the method,

${}^8{C}_2\times 2!=56$ways

Total =59 words