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In how many ways can 100 soldiers be divided into 4 squads of 10, 20, 30, 40 respectively?

1700
18!
190
None of these

Correct Answer: None of these

Explanation:

$100 C 10 + 90 C 20 + 70 C 30 + 40 C 40 = \frac{100!}{10! x 20! x 30! x 40!}$

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