mark has 5 pants and 7 shirts in his closet. he wants to wear a different pant/shirt combination each day without buying new clothes for as long as he can. how many weeks can he do this for?



Answer :

Mark has 35 unique combinations to choose from, so can he co go 5 weeks with this set of clothes

Number of pants in Mark's closet = 5

Number of shirts in Mark's closet = 7

Combinations are ways to choose elements from a collection in mathematics where the order of the selection is irrelevant. Let's say we have a trio of numbers: P, Q, and R. Then, combination determines how many ways we can choose two numbers from each group.

He can choose amongst the pants in 5 ways, similarly, he can choose among the shirts in 7 ways

Total number of combinations = 5*7 = 35 unique combinations

So, if he wears one combination each day he can last 35 days or 5 weeks, without buying new clothes

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