If the four-letter words (need not be meaning | vedclass

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Question

(B) The word "$MEDITERRANEAN$" contains the letters: $M, E, E, E, D, I, T, R, R, A, A, N, N$.
Total letters: $13$. Distinct letters: $M, E,

Vedclass · Accepted Answer

$59$

Vedclass · Answer

(B) The word "$MEDITERRANEAN$" contains the letters: $M, E, E, E, D, I, T, R, R, A, A, N, N$.
Total letters: $13$. Distinct letters: $M, E, D, I, T, R, A, N$.
We need to form a $4$-letter word of the form $R . . E$.
We have $2$ empty positions to fill using the remaining letters from the set ${M, E, E, D, I, T, R, A, A, N, N}$.
Case $1$: The two empty positions are filled with identical letters.
The possible pairs are $(E, E), (A, A), (N, N)$. There are $3$ such ways.
Case $2$: The two empty positions are filled with distinct letters.
We choose $2$ distinct letters from the set ${M, E, D, I, T, R, A, N}$. The number of ways is $^8P.2 = 8 	imes 7 = 56$.
Total number of words $= 3 + 56 = 59$.

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

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