If $10$ different balls are to be placed in $4$ distinct boxes at random, then the probability that two of these boxes contain exactly $2$ and $3$ balls is 

  • [JEE MAIN 2020]
  • A

    $\frac{945}{2^{11}}$

  • B

    $\frac{965}{2^{11}}$

  • C

    $\frac{945}{2^{10}}$

  • D

    $\frac{965}{2^{10}}$

Similar Questions

A bag contains $8$ red and $7$ black balls. Two balls are drawn at random. The probability that both the balls are of the same colour is

The probability that a randomly chosen $5-digit$ number is made from exactly two digits is

  • [JEE MAIN 2020]

Three integers are chosen at random from the first $20$ integers. The probability that their product is even, is

A bag contains $16$ coins of which two are counterfeit with heads on both sides. The rest are fair coins. One coin is selected at random from the bag and tossed. The probability of getting a head is

A box contains $10$ mangoes out of which $4$ are rotten. $2$ mangoes are taken out together. If one of them is found to be good, the probability that the other is also good is