(A) The word $MONDAY$ consists of $6$ distinct letters: $M, O, N, D, A, Y$.The number of words that can be formed by using all the letters of the word

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(A) The word $MONDAY$ consists of $6$ distinct letters: $M, O, N, D, A, Y$.The number of words that can be formed by using all the letters of the word $MONDAY$ at a time is the number of permutations of $6$ different objects taken $6$ at a time.This is given by the formula $^{6}P_{6} = 6!$.Calculating the value: $6! = 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 720$.Thus,the required number of words is $720$.

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

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How many words,with or without meaning,can be formed from the letters of the word $MONDAY$,assuming that no letter is repeated,if all letters are used at a time?

A
$720$
B
$120$
C
$360$
D
$5040$

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

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How many words,with or without meaning,can be formed from the letters of the word $MONDAY$,assuming that no letter is repeated,if all letters are used at a time?

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