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Jack is making cupcakes for his party. He has 4 different types of frosting. He is baking 5 different kinds of cake for the cupcakes.

Jack is making cupcakes for his party. He has 4 different types of frosting. He is baking 5 different kinds of cake for the cupcakes. He has 7 different wrappers for the cupcakes. He randomly combines them so that each cupcake has one frosting, one cake, and one wrapper. He believes that if he makes 130 cupcakes, that he will definitely have duplicate cupcakes. Is he correct? Explain. Use the pigeonhole principle.

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