Suppose Anil’s mother wants to give 5 whole fruits to Anil from a basket of 7 red apples, 5 white apples and 8 oranges. If in the selected 5 fruits, at least 2 orange, at least one red apple and at l…

Question

Suppose Anil’s mother wants to give 5 whole fruits to Anil from a basket of 7 red apples, 5 white apples and 8 oranges. If in the selected 5 fruits, at least 2 orange, at least one red apple and at least one white apple must be given, then the number of ways, Anil’s mother can offer 5 fruits to Anil is

Accepted Answer

Correct answer: 6860. (6860) solution 7 Red apple (RA), 4 white apple (WA), 8 Oranges (O) 5, Fruits to be selected (Note – Fruits taken different) Possible selections:- (20, 1RA, 2WA) or (20 2RA, 1WA) or (30, 1RA, 1WA) ⇒^8C_2 ^7C_1 ^5C_2+ ^1C_7 ^7C_2 ^5C_1+^5C_1+^7C_1 ^5C_1 ⇒1960+2940+1960 ⇒6860

Solution

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