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A bag contains six white marbles and five red marbles. Find the number of ways in which four marbles can be drawn from the bag if two must be white and two red

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Question

A bag contains six white marbles and five red marbles. Find the number of ways in which four marbles can be drawn from the bag if two must be white and two red

Sum
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Solution

Total number of marbles = 6 white + 5 red = 11 marbles

If 2 must be white and 2 must be red

Then the required number of ways = 6C2 × 5C2 

Hence the required number of ways are 6C2 × 5C2

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Chapter 7: Permutations and Combinations - Exercise [Page 123]

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NCERT Exemplar Mathematics [English] Class 11
Chapter 7 Permutations and Combinations
Exercise | Q 22.(ii) | Page 123

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