chain of car dealerships got a shipment of 9240 new cars. there are the same number of cars in every color. how many different colors could there be?
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Given : chain of car dealerships got a shipment of 9240 new cars. there are the same number of cars in every color.
To Find : in how many ways different colors could there be
Solution:
9240 = 2 * 2 * 2 * 3 * 5 * 7 * 11
=> 9240 = 2³ * 3¹ * 5¹ * 7¹ * 11¹
Total possible Factors
= ( 3 + 1)(1 + 1)( 1+ 1)(1 + 1)(1 + 1)
= 4(2)(2)(2)(2)
= 64
64 Ways of different colors could there be
other Way 9240 Colors can be there
1 car in Each color
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