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If 6Pr = 360 and If 6Cr = 15, find r ?

A. 5

B. 6

C. 4

D. 3

Answer: Option C

Solution(By Examveda Team)

nPr = nCr × r!
6Pr = 15 × r!
360 = 15 × r!
r! = $$\frac{{360}}{{15}}$$ = 24
r! = 4 × 3 × 2 × 1
⇒ r! = 4!
Therefore, r = 4

This Question Belongs to Arithmetic Ability >> Permutation And Combination

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