(A) The word $SCHOLAR$ has $7$ distinct letters: $S, C, H, O, L, A, R$.We need to form words starting with $A$ and ending with $S$.Fixing $A$ at the f

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(A) The word $SCHOLAR$ has $7$ distinct letters: $S, C, H, O, L, A, R$.We need to form words starting with $A$ and ending with $S$.Fixing $A$ at the first position and $S$ at the last position,we have $5$ remaining letters $(C, H, O, L, R)$ to arrange in the $5$ middle positions.The number of ways to arrange these $5$ letters is $5!$.$5! = 5 \times 4 \times 3 \times 2 \times 1 = 120$.Therefore,$120$ such words can be formed.

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

Easy

How many words can be formed using the letters of the word $SCHOLAR$ that start with $A$ and end with $S$?

A
$120$
B
$720$
C
$1440$
D
$5040$

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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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How many words can be formed using the letters of the word $SCHOLAR$ that start with $A$ and end with $S$?

Similar Questions

The number of ways in which all the letters of the word $COMBINATION$ can be arranged so that the vowels always come together is:

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