Problem: Define na! for n and a positive to be
na!=n(n−a)(n−2a)(n−3a)…(n−ka)
where k is the greatest integer for which n>ka. Then the quotient 7228!/182! is equal to
Answer Choices:
A. 45
B. 46
C. 48
D. 49
E. 412
Solution:
7291=72×84×56×48×40×32×24×16×8=88×91
18z=18×16×14×12×10×8×6×4×2=2∗×91
The quotsent 7221/1821=89/29=49