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Question: Answered & Verified by Expert
Assuming the balls to be identical except for difference in colours, the number of ways in which one or more balls can be selected from $10$ white, $9$ green and $7$ black balls is
MathematicsPermutation CombinationJEE MainJEE Main 2012 (Offline)
Options:
  • A
    $880$
  • B
    $629$
  • C
    $630$
  • D
    $879$
Solution:
2105 Upvotes Verified Answer
The correct answer is:
$879$
Number of ways of selecting one or more balls from $10$ white, $9$ green, and $7$ black balls $=(10+1)(9+1)(7+1)-1=11 \times 10 \times 8-1=879.$

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