A travel search app requires users to select a group of 5 important search criteria to create a personalized search method. There are 10 criteria total: Travel Cost, Available Travel Dates, Weather, Ease of Travel, Child Friendliness, Accommodations Cost, Dining Costs, Attraction Adventure, Attraction Culture, Distance. Solve for the number of unique search methods that can be created.

Question

Brittany Bartlett

Mathematics

26 September, 03:30

A travel search app requires users to select a group of 5 important search criteria to create a personalized search method. There are 10 criteria total: Travel Cost, Available Travel Dates, Weather, Ease of Travel, Child Friendliness, Accommodations Cost, Dining Costs, Attraction Adventure, Attraction Culture, Distance. Solve for the number of unique search methods that can be created.

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Journey Conway · Answer 1

The order of selection is not significant in the matter; therefore, we use mathematical combinations to solve this problem.

₁₀C₅ = (10!) / (5! x (10-5) !)

= (10 x 9 x 8 x 7 x 6) / (5!)

= 252 combinations