Permutations

Find $x$, if:

$\left(x+2\right)!=2550\times x!$

Find circular permutation of $7$ students sitting around a round table $4$ students at a time.

Calculate circular permutation of $6$ diamonds in a necklace.

Calculate circular permutation of $4$ persons sitting around a round table considering clockwise and anticlockwise orders as same.

Number of circular permutation of '$n$' distinct objects taken all at a time is $n!$.

Number of circular permutation of '$n$' distinct objects taken all at atime is 

Find the number of ways in which $5$ boys can be arranged to form a circle

Find the number of ways in which $8$ beads can be arranged to form a wristband.

In how many ways $6$ persons can be arranged in a circular arrangement taking $4$ at a time when clockwise and anti-clockwise arrangements are same?

In how many ways $4$ persons can be arranged in a circular arrangement taking $2$ at a time when clockwise and anti-clockwise arrangements are same?

In how many ways $8$ persons can be arranged in a round table taking $5$ at a time?

In how many ways $6$ persons can be arranged in a round table taking $4$ at a time?

What is the number of ways that $6$ books can be arranged on a table taken $2$ at a time?

What is the number of ways that $4$ face cards of king from a deck can be arranged taken $2$ at a time?

Find the number of ways in which $4$ boys can be seated in a circle.

Find the number of ways in which $5$ boys can be seated in a circle.

What is the number of ways that $15$ students can be arranged in a class room taken $4$ students at a time?

What is the number of ways that $10$ balls can be arranged taken $4$ at a time?

Teacher asked her $7$ students to seat in a row. In how many ways can the students in a class be seated in a row?

In how many ways can $5$ persons be stood in a row?