Final answer:
Frank can make 40 different types of vanilla cookies using 1 type of nut, 1 type of chip, and 1 shape.
Step-by-step explanation:
To find the number of different types of vanilla cookies Frank can make using 1 type of nut, 1 type of chip, and 1 shape, we multiply the number of options for each category: nuts, chips, and shapes.
Number of types of nuts = 2
Number of types of chips = 4
Number of shapes = 5
Therefore, the total number of different types of vanilla cookies that Frank can make is:
2 (types of nuts) x 4 (types of chips) x 5 (shapes) = 40