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Mathematics
Formula of permutation
Evaluate the following:
 ${}^{10}{P_4}$
Mathematics
Formula of permutation
Find the value of \[{^8}{P}{{_8}}\]

Mathematics
Formula of permutation
If we have an expression \[^{n}{{C}_{12}}{{=}^{n}}{{C}_{6}}\], then \[^{n}{{C}_{2}}\]?

Mathematics
Formula of permutation
In how many ways can $5$ boys and $5$ girls sit in a circle so that no two boys sit together?
$
  A.\;5!\; \times \;5! \\
  B.\;4!\; \times \;5! \\
  C.\;\dfrac{{5!\; \times \;5!}}{2} \\
 $
$D.$ None of these
Mathematics
Formula of permutation
How many words, with or without meaning can be formed using all the letters of the word EQUATION, using each letter exactly once?
Mathematics
Formula of permutation
How do you evaluate ${}_{7}{{P}_{7}}$?
Mathematics
Formula of permutation
If we are given the ratio of permutation as ${}^{n}{{P}_{4}}:{}^{n}{{P}_{5}}=1:2$, then $n$ is:
1. 4
2. 5
3. 6
4. 7

Mathematics
Formula of permutation
If $P_m$ stands for $mP_m$, then $1+1p_1+2P_2+3P_3+…+n.P_n$ is equal to:
Mathematics
Formula of permutation
A man has 5 friends. In how many ways can he invite one or more of them to a tea party?
$
  (a){\text{ 30}} \\
  (b){\text{ 31}} \\
  (c){\text{ 32}} \\
  (d){\text{ 25}} \\
$
Mathematics
Formula of permutation
The letters of the word RANDOM are written in all possible orders and these words are written out as in a dictionary then the rank of the word RANDOM is.
A.$614$
B.$615$
C.$612$
D.$616$

Mathematics
Formula of permutation
How many different arrangements can be made using all of the letters in the word REARRANGE?
Mathematics
Formula of permutation
How many permutations of the letters “a b c d e f g h” contain?
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