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Consider 4 boxes, where each box contain...

Consider 4 boxes, where each box contains 3 red balls and 2 blue balls. Assume that all 20 balls are distinct. In how many different ways can 10 balls be chosen from these 4 boxes so that from each box at least one red ball and one blue ball are chosen ?

A

21816

B

85536

C

12096

D

156816

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A box contains two white balls three black balls and 4 red balls . In how many ways can three balls be drawn from the box if at least one black ball is to be included in the draw.

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Knowledge Check

  • In how many different ways can 6 identical balls be distributed to 4 different boxes , when each box can have any number of balls ?

    A
    12
    B
    18
    C
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    D
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    B
    `1296`
    C
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    D
    `4096`
  • In how many different ways can 6 different balls be distributed to 4 different boxes, when each box can hold any number of ball?

    A
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    B
    1296
    C
    `(24)^2`
    D
    4096
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