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What is the relationship between 5P3 and 5C3?

1 Answer

Shwetank Mauria

Feb 13, 2016

$^{5} P_{3} = 6 \cdot^{5} C_{3}$ $""^5P_3=6*""^5C_3$

Explanation:

Relation between $^{n} P_{r}$ $""^nP_r$ and $^{n} C_{r}$ $""^nC_r$ is given by

$^{n} P_{r} =^{n} C_{r} \cdot r!$ $""^nP_r=""^nC_r*r!$

Hence $^{5} P_{3} =^{5} C_{3} \cdot 3!$ $""^5P_3=""^5C_3*3!$

or $^{5} P_{3} = 6 \cdot^{5} C_{3}$ $""^5P_3=6*""^5C_3$

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