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Permutation: n Different Things Taken All at a Time When All Are Not Different.

The total num...

Question

The total number of ways of selecting 10 balls out of an unlimited number of identical white, red and blue balls

A

55

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B

66

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C

77

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D

11

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Solution

The correct option is B 66
$X_{W} + X_{R} + X_{B} = 10$
$∴$ Required ways $= 3 + 10 - 1_{C_{10}} = 12_{C_{2}} = \frac{12.11}{2} = 66$

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