(B) The number of permutations of $n$ distinct objects taken all at a time is given by $n!$.Here,$n = 3$ (letters $A, B, C$).Therefore,the number of p

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(B) The number of permutations of $n$ distinct objects taken all at a time is given by $n!$.Here,$n = 3$ (letters $A, B, C$).Therefore,the number of permutations is $3! = 3 \times 2 \times 1 = 6$.The possible permutations are: $ABC, ACB, BCA, BAC, CBA, CAB$.

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

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What is the number of permutations of three letters $A, B, C$ taken all at a time?

A
$1$
B
$6$
C
$10$
D
$15$

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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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What is the number of permutations of three letters $A, B, C$ taken all at a time?

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