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JEE Main 202325 JanuaryEvening Shift
Exam
JEE Main
Year
2023
Date
25 January
Shift
Evening Shift
Subject
Mathematics
Chapter
Permutation and Combination

JEE Main 2023 · 25 January · Evening Shift · Mathematics · Permutation and Combination

Suppose Anil's mother wants to give 5 whole fruits to Anil from a...

Suppose Anil's mother wants to give 55 whole fruits to Anil from a basket of 77 red apples, 55 white apples and 88 oranges. If in the selected 55 fruits, at least 22 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 55 fruits to Anil is _____ .

Correct answer

0

Step-by-step solution

We have,

77 Red apple\left(RA\right)</p><p></p><p>5whiteapple(WA)white apple\left(WA\right)

88 oranges \left(O\right)</p><p>Now,foroffering</p><p>Now, for offering5fruitstobeselected</p><p>Possibleselections:−fruits to be selected </p><p>Possible selections :-( 2O,,1RA,2WA)or(2O,2RA,1WA), 2WA ) or \left(2O, 2RA, 1WA\right), or \left(3O, 1RA, 1WA\right)</p><p>Requirednumberofways</p><p></p><p>Required number of ways</p><p>= C2 8 C1 7 C2 5 + C2 8 C2 7 C1 5 + C3 8 C1 7 C1 5</p><p></p><p>= 1960 + 2940 + 1960</p><p></p><p>= 6860

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