A vending machine sells four brands of candy bars. If Sarah buys a total of $10$ candy bars from the machine, how many

A vending machine sells four brands of candy bars. If Sarah buys a total of $10$ candy bars from the machine, how many combinations of the four brands could she purchase? (Assume that there are at least $10$ of each type of candy bar in the vending machine.)

A. $256$

B. $286$

C. $3000$

D. $\dfrac{10!}{4!}$

E. $\dfrac{40!}{30!\cdot 10!}$

Answer: B

Source: Manhattan GMAT

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