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Class 11MathematicsPermutations and CombinationsCombinationsHard
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From (11) subjects (5) subjects are to be selected. Chemistry must be selected, biology must not be selected, and mathematics and physics must not both be selected together. How many ways are there?

Answer and explanation

Correct answer: (105)

Chemistry is fixed and biology is excluded. Choose the remaining (4) subjects from (9) and subtract (\binom{7}{2}) selections containing both mathematics and physics to get (105).

Related tags

CombinationsClass11HardPermutations And CombinationsMathematicsClass 11 Mcq
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