Total number of $6-$digit numbers in which only and all the five digits $1,3,5,7$ and $9$ appear, is 

  • [JEE MAIN 2020]
  • A

    $\frac{5}{2}(6 !)$

  • B

    $5^6$

  • C

    $\frac{1}{2}(6 !)$

  • D

    $6!$

Similar Questions

Number of different words that can be formed from all letters of word $APPLICATION$ such that two vowels never come together is -

If $^{15}{C_{3r}}{ = ^{15}}{C_{r + 3}}$, then the value of $r$ is

  • [IIT 1967]

If $^{2017}C_0 + ^{2017}C_1 + ^{2017}C_2+......+ ^{2017}C_{1008} = \lambda ^2 (\lambda   > 0),$ then remainder when $\lambda $ is divided by $33$ is-

In how many ways can $5$ red and $4$ white balls be drawn from a bag containing $10$ red and $8$ white balls

Determine $n$ if

$^{2 n} C_{3}:\,^{n} C_{3}=12: 1$