Relation between nPr and nCr
Permutations and combinations · Mathematics
Study notes
Q: Verify P(8,3) = 3! x C(8,3). A club picks a president, secretary, treasurer from 8 members - permutation or combination? P(8,3) = 8x7x6 = 336. C(8,3) = 56. 3! x 56 = 6 x 56 = 336. Verified. Officer roles differ (president vs secretary), so order matters: permutation, 336 ways.