In how many ways 4 balls can be picked from 6 black and 4 green colored balls such that at least one black ball is selected?

Question

In how many ways 4 balls can be picked from 6 black and 4 green colored balls such that at least one black ball is selected?, 212, 210, 209, 15

MARKS App · Accepted Answer

All possible cases if at least one Black ball is selected are, 1 B 3 G , 2 B 2 G , 3 B 1 G , 4 B 0 G Then total number of ways are, = C 1 6 × C 3 4 + C 2 × 6 C 2 4 + C 3 × 6 C 1 4 + C 4 6 = 6 × 4 + 15 × 6 + 20 × 4 + 15 = 209

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