If $^n{C_{r - 1}} = 36,{\;^n}{C_r} = 84$ and $^n{C_{r + 1}} = 126$, then the value of $r$ is

  • [IIT 1979]
  • A

    $1$

  • B

    $2$

  • C

    $3$

  • D

    None of these

Similar Questions

The number of ways of dividing $52$ cards amongst four players equally, are

  • [IIT 1979]

Five balls of different colours are to be placed in three boxes of different sizes. Each box can hold all five balls. In how many ways can we place the balls so that no box remains empty

  • [IIT 1981]

Number of positive integral solution of the equation $xyz = 90$ is equal to :-

Find the number of ways in which two Americans, two British, One Chinese, One Dutch and one Egyptian can sit on a round table so that person of the same nationality are separated?

The least value of natural number $n$ satisfying $C(n,\,5) + C(n,\,6)\,\, > C(n + 1,\,5)$ is