JEE Mains · Maths · STD 11 - 6. permutation and combination
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 \(........\)
- A \(6860\)
- B \(6859\)
- C \(6850\)
- D \(6589\)
Answer & Solution
Correct Answer
(A) \(6860\)
Step-by-step Solution
Detailed explanation
\(7\) Red apple(RA),\(5\) white apple \((WA)\),\(8\) oranges\((O)\),\(5\) fruits to be selected (Note:- fruits taken different) Possible selections :- \((2 O , 1 RA , 2 WA )\) or \((2 O\), \(2 RA , 1 WA )\) or ( \(3 O , 1 RA , 1 WA )\)…
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