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Question

The number of ways of selecting 10 balls from the unlimited number of red, green, white and yellow balls, if selection must include 2 red and 3 yellow balls is

A
36
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B
56
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C
112
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D
None of these
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Solution

The correct option is C 56
Number of 10 balls selections
= coefficients of x10 in (x2+x2+...)(1+x+x2+...)(1+x+x2+...)(x3+x4+...)
= coefficients of x5 in (1+x+x2+...)4
= coefficients of x5 in (1x)4
=(4+51)C5=8C5=56 ways.

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