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A library has `a` copies of one book, `b` copies each of two books, `c` copies each of three books, a single copy of `d` books. The total number of ways in which these books can be arranged in a shelf is equal to
a. `((a+2b+3c+d)!)/(a !(b !)^2(c !)^3)`
b. `((a+2b+3c+d)!)/(a !(2b !)^2(c !)^3)`
c. `((a+b+3c+d)!)/((c !)^3)`
d. `((a+2b+3c+d)!)/(a !(2b !) (c !)^3)`

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