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The number of ways can 10 balls be chosen from an urn containing 10 identical green balls, 5 identical yellow balls and 3 identical blue balls are _______________.

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The power of x of following must be 10.

(x0 + x1 + ...+ x10)(x0 + x1 + ...+ x5)(x0 + x1 + ...+ x3)

= $\frac{1-x^{11}}{1-x}$ . $\frac{1-x^{6}}{1-x}$ . $\frac{1-x^{4}}{1-x}$

Now, we neglect the x11 power.

= (1 - x4 - x6 + x10) . (1 - x)-3

= (1 - x4 - x6 + x10) . ( 66x10 + 28x6 + 15x4 + 1)

= 24x10

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