IPMAT Rohtak 2020
Modern Math
Permutation & Combination
Conceptual
A box contains 2 white shirts, 3 black shirts, and 4 red shirts. In how many ways can 3 shirts be drawn from the box, if at least one black shirt is to be included in the draw?
A box contains 2 white shirts, 3 black shirts, and 4 red shirts. In how many ways can 3 shirts be drawn from the box, if at least one black shirt is to be included in the draw?
Correct Option: 3
Total ways to select 3 shirts with at least one black shirt = Total ways to select 3 shirts - Ways to select 3 shirts without any black shirtTotal ways to select 3 shirts = = 84Ways to select 3 shirts without black = = 20(selecting from only white(2) and red(4) shirts)Therefore, required ways = - = = Therefore, there are 64 ways of picking out atleast 1 black shirt.
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IPMAT Rohtak 2020