(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

Easy

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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