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JEE MATHEMATICS MCQ: PERMUTATIONS

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Application +4 | -1
Number of permutations of nn different objects taken r(≥3)r(\geq 3) at a time which includes 3 particular objects is
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Correct option: D
′P3×n−3Pr−3{ }^{\prime} P_{3} \times{ }^{n-3} P_{r-3}
Option D (rP3×n−3Pr−3{ }^{r} P_{3} \times{ }^{n-3} P_{r-3}) is correct because it accounts for selecting and arranging the remaining objects after including the 3 particular ones.

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