(A) The word $ROSE$ contains $4$ distinct letters: $R, O, S, E$. To form a $4$ letter word without repetition,we need to arrange these $4$ letters in

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(A) The word $ROSE$ contains $4$ distinct letters: $R, O, S, E$. To form a $4$ letter word without repetition,we need to arrange these $4$ letters in $4$ vacant places. The first place can be filled in $4$ ways. The second place can be filled in $3$ ways. The third place can be filled in $2$ ways. The fourth place can be filled in $1$ way. By the multiplication principle,the total number of words is $4 \times 3 \times 2 \times 1 = 24$.

Class 11 Mathematics Permutation and Combination Definition of permutation, Number of permutations with or without repetition, Conditional permutations

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Find the number of $4$ letter words,with or without meaning,which can be formed out of the letters of the word $ROSE$,where the repetition of the letters is not allowed.

A
$24$
B
$12$
C
$16$
D
$8$

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Permutation and Combination

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Definition of permutation, Number of permutations with or without repetition, Conditional permutations

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Find the number of $4$ letter words,with or without meaning,which can be formed out of the letters of the word $ROSE$,where the repetition of the letters is not allowed.

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