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

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 _____ .

TestHub · Accepted Answer

We have, 7 Red apple R A 5 white apple W A 8 oranges O Now, for offering 5 fruits to be selected Possible selections :- ( 2 O , 1 R A , 2 WA ) or 2 O , 2 RA , 1 WA , or 3 O , 1 RA , 1 WA Required number of ways = C 2 8 C 1 7 C 2 5 + C 2 8 C 2 7 C 1 5 + C 3 8 C 1 7 C 1 5 = 1960 + 2940 + 1960 = 6860

Mathematics - Permutation Combination Question with Solution | TestHub

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