The number of arrangements that can be made by taking r objects taken at a time from a group of n dissimilar objects is denoted as____

^{n} C_{r}

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^{n} P_{r}

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^{n} P_{n - r}

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^{n} C_{n - r}

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Solution

The correct option is B $^{n} P_{r}$
The different arrangements of a given number of things by taking some or all at a time, are called permutations.
So, the number of arrangements that can be made by taking r objects taken at a time from a group of $n$ dissimilar objects is denoted as $^{n} P_{r}$

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Similar questions

here r/nCr=(n-r)/nCn-r how it is possble because its true that nCr=nCn-r but how n-r=r as in numerator

^{n} C_{r}

n

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^{n} C_{r + 1} +^{n} C_{r - 1} + 2 \times^{n} C_{r}

^{n} C_{r}

^{n} C_{r}

n

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^{n} C_{r + 1} +^{n} C_{r - 1} + 2 \times^{n} C_{r}

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