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Subjects
Class 11MathematicsPermutations and CombinationsCombinationsMedium
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From (6) white and (7) black balls (5) balls are to be selected such that all balls are not of the same color. How many ways are there?

Answer and explanation

Correct answer: (1260)

Total ways are (\binom{13}{5}=1287). Removing all-white (\binom{6}{5}=6) and all-black (\binom{7}{5}=21) gives (1260).

Related tags

CombinationsClass11MediumPermutations And CombinationsMathematicsClass 11 Mcq
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10 more MCQs
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  2. 2A student chooses one subject from 3 subjects and one game from 5 games. How many different selections are possible in total?
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  5. 5A meal plate offers 2 bread choices, 3 vegetable choices, and 2 dessert choices. In how many ways can a plate be prepared by choosing one item from each category?
  6. 6A bag contains pens in 3 different colors, markers in 4 different colors, and pencils in 2 different colors. In how many ways can one pen, one marker, and one pencil be chosen?
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