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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 they must all be of the same colour.

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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 they must all be of the same colour.

Sum
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Solution

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

If all the 4 marbles are of the same colour

Then, the required number of ways = 6C4 + 5C4

Hence the required number of ways are 6C4 + 5C4.

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

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

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