In a shop,there are $5$ types of ice-creams available. $A$ child buys $6$ ice-creams.
$Statement-1$: The number of different ways the child can buy the $6$ ice-creams is $^{10}C_5$.
$Statement-2$: The number of different ways the child can buy the $6$ ice-creams is equal to the number of different ways of arranging $6$ $A$'s and $4$ $B$'s in a row.

  • A
    $Statement-1$ is true,$Statement-2$ is false.
  • B
    $Statement-1$ is true,$Statement-2$ is true; $Statement-2$ is a correct explanation for $Statement-1$.
  • C
    $Statement-1$ is true,$Statement-2$ is true; $Statement-2$ is not a correct explanation for $Statement-1$.
  • D
    $Statement-1$ is false,$Statement-2$ is true.

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Difficult
View Solution

If ${}^nC_{r-1}=330$,${}^nC_r=462$,and ${}^nC_{r+1}=462$,then $r$ is equal to

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