Permutation and Combination

In how many possible ways can you write 1800 as a product of 3 positive integers a, b, c ?

August 17, 2021 One Min Read

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In how many possible ways can you write 1800 as a product of 3 positive integers a, b, c ?

A. 350

B. 360

C. 380

D. 480

Answer : B. 360

Explanation:

1800 = 2³ * 3² * 5² then
⁵C₂ * ⁴C₂ * ⁴C₂ = 360

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