In a bag there are 5 red balls, 3 white balls and 4 black balls. Four balls are drawn from the bag. Find the number of ways of in which at most 3 red balls are selected.
-> I would like to know should we assume 5 red ball are identical or different? As this is not explicitly specified in this question. Please suggest.

Question

In a bag there are 5 red balls, 3 white balls and 4 black balls. Four balls are drawn from the bag. Find the number of ways of in which at most 3 red balls are selected.

-> I would like to know should we assume 5 red ball are identical or different? As this is not explicitly specified in this question. Please suggest.

Vikas TU · Answer

Dear student If it is not specified , you should assume it as identical ball. Hope this will help Good Luck Cheers

Rakhi Jain · Answer

Thanks you sir. This question appeared in this year JEE mains(8th JAn morning shift). If we assume all 5 red balls are identical. Likewise all 3 white balls are identical and so for black ball. Answer should be = 12. However, if we dont assume balls to be identical, answer would be 490. Which is given as correct answer as per JEE mains site answer key. I am confused should I challenge this question. Please suggest.

Vikas TU · Answer

Dear Rakhi Consult your teacher , I think yu should challenge . Because nothing is mentioned in the question , And you have right to know proper explanation about questions. Good Luck

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