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Seven Passengers Are on a Waiting List for an Overbooked

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Short Answer

Seven passengers are on a waiting list for an overbooked flight. As a result of cancellations, three seats become available. How many different ways can those three available seats be filled regardless of the order?


Definitions:

Gram Stain

A method used in microbiology for the differentiation of bacteria into two groups, Gram-positive and Gram-negative, based on the chemical and physical properties of their cell walls.

Crystal Violet

A triarylmethane dye used in Gram staining, antiseptics, and also as a textile dye.

Microorganisms

Tiny living organisms, often microscopic, such as bacteria, viruses, fungi, and protozoa, that can have various effects on other living organisms.

Swollen Glands

Typically the result of an infection, causing enlargement of the lymph nodes that can be felt under the skin, especially around the neck, armpit, or groin.

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