(A) We know that the factorial of a number $n$ is defined as $n! = 1 \times 2 \times 3 \times \dots \times n$. First,calculate $4!$: $4! = 1 \times 2

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(A) We know that the factorial of a number $n$ is defined as $n! = 1 \times 2 \times 3 \times \dots \times n$. First,calculate $4!$: $4! = 1 \times 2 \times 3 \times 4 = 24$. Next,calculate $3!$: $3! = 1 \times 2 \times 3 = 6$. Finally,subtract the values: $4! - 3! = 24 - 6 = 18$.

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

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Evaluate $4! - 3!$

A
$18$
B
$20$
C
$21$
D
$24$

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Permutation and Combination

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

In an examination hall,there are $mn$ chairs arranged in $m$ rows and $n$ columns. The number of ways in which $m$ students can be seated such that no row is vacant is:

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Find the number of arrangements of the letters of the word $INDEPENDENCE$. In how many of these arrangements do all the vowels always occur together?

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Find $r,$ if $5 \times ^{4}P_{r} = 6 \times ^{5}P_{r-1}.$

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The number of permutations by taking all letters and keeping the vowels of the word $COMBINE$ in the odd places is

MediumWBJEE 2010

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Evaluate $7!$

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Evaluate $4! - 3!$

Similar Questions

In an examination hall,there are $mn$ chairs arranged in $m$ rows and $n$ columns. The number of ways in which $m$ students can be seated such that no row is vacant is:

Find the number of arrangements of the letters of the word $INDEPENDENCE$. In how many of these arrangements do all the vowels always occur together?

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