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Question

Question: Out of 10 white, 9 black and 7 red balls, the number of ways in which selection of one or more balls...

Out of 10 white, 9 black and 7 red balls, the number of ways in which selection of one or more balls can be made, is

Answer

879

Explanation

Solution

The number of ways to select balls of a particular color is (number of balls + 1), as we can choose any number from zero up to the total available. For 10 white, 9 black, and 7 red balls, the total number of ways to select any number of balls (including zero) is (10+1)×(9+1)×(7+1)=11×10×8=880(10+1) \times (9+1) \times (7+1) = 11 \times 10 \times 8 = 880. To find the number of ways to select one or more balls, we subtract the single case where no balls are selected. Result: 8801=879880 - 1 = 879.