What is the difference between ${}^{n}P_{r}$ and ${}^{n}C_{r}$ ?

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Solution

The difference between ${}^{n}P_{r}$ and ${}^{n}C_{r}$ :
${}^{n}P_{r}$ ${}^{n}C_{r}$
The permutation is the way of arranging the elements of a group or a set in order. The combination an is the selection of elements from a group or a set, where the order of the elements does not matter.
Formula: ${}^{n}P_{r} = \frac{n!}{(n - r)!}$ Formula: ${}^{n}C_{r} = \frac{n!}{r! (n - r)!}$
Hence,difference is clearly explained

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Similar questions

^{n} P_{r} =^{n} P_{r + 1}

^{n} C_{r} =^{n} C_{r - 1}

npr=npr+1 and ncr=ncr+1 find the values of n and r?

^{n} P_{r} =^{n} P_{r + 1}

^{n} C_{r} =^{n} C_{r - 1}

r

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${}^{n}P_{r}$	${}^{n}C_{r}$
The permutation is the way of arranging the elements of a group or a set in order.	The combination an is the selection of elements from a group or a set, where the order of the elements does not matter.
Formula: ${}^{n}P_{r} = \frac{n!}{(n - r)!}$	Formula: ${}^{n}C_{r} = \frac{n!}{r! (n - r)!}$