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If a7! + b8! + c9! + d10! = x, where a, b, c and d are natural numbers that are not multiples of 10, then how many distinct values of unit’s digit of x are possible?

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two circles both of raddi 1 intersect such that the circumference of each passes through the centre of each other find the area of intersecting region

A hexagonal park of side x cm is surrounded by a hexagonal fence..the distance between them is root 3... what is the area of bigger hexagon?

A hexagonal park of side x cm is surrounded by a hexagonal fence..the distance between them is root 3... what is the area of bigger hexagon?

Find the area satisfying |x+y|<=6 and x^2+y^2<=36?(explain pls...)

How to solve probability??

what is the remainder when 2^144 is divided by 6? (detailed approach using euler's theorem plz)

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How many natural numbers having less than 4 digits can be formed such that sum is less than 10?