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  • 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 oranges, at least one red apple a

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 oranges, 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

Option: 1

6860


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

Three cases are possible

1 \mathrm{R} 1 \mathrm{~W} 3 \mathrm{O}+2 \mathrm{R} 1 \mathrm{~W} 2 \mathrm{O}+1 \mathrm{R} 2 \mathrm{~W} 2 \mathrm{O}\\\\ $$ \begin{aligned} & { }^7 \mathrm{C}_1 \cdot{ }^5 \mathrm{C}_1 \cdot{ }^8 \mathrm{C}_3+{ }^7 \mathrm{C}_2 \cdot{ }^5 \mathrm{C}_1 \cdot{ }^8 \mathrm{C}_2+{ }^7 \mathrm{C}_1 \cdot{ }^5 \mathrm{C}_2 \cdot{ }^8 \mathrm{C}_2 \\ & =6860 \end{aligned}

Posted by

Irshad Anwar

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