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Quantitative - Mathematics - Word Problems:

Permutation and Combinations

MCQ - 161-12928

Question:

A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw

  1. 64
  2. 128
  3. 132
  4. 128

Correct Answer: A

Explanation:

From 2 white balls, 3 black balls, and 4 red balls, 3 balls are to be selected such that at least one black ball should be there.

Hence we have 3 choices

Three are black

Two are black and one is non black

One is black and two are non black

Total number of ways = 3C3 + (3C2 x 6C1) + (3C1 x 6C2)   [because 6 are non black]

=1+[3×6]+[3×(6× 5 2 ×1)]=1+18+45=64

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1297 MCQ for effective preparation of the test of Permutation and Combinations of Word Problems section.

Read the MCQ statement: A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one black ball is to be i .... uded in the draw , keenly and apply the method you have learn through the video lessons for Permutation and Combinations to give the answer. Record your answer and check its correct answer and video explanation for MCQ No. 161-12928.

How to Answer

Solve the question for MCQ No. and decide which option (A through D/E) is the best choice to answer the MCQ, then click/tap the blue button to view the correct answer and it explanation.

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