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Class 11MathematicsPermutations and CombinationsCombinationsExpert
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Among (9) toppings, (2) are spicy, (3) are cheese, and (4) are other toppings. Choose (3) toppings with at least (1) spicy and at least (1) cheese topping. How many selections are possible?

Answer and explanation

Correct answer: (33)

The cases are (1S1C1O), (1S2C), and (2S1C). Total (2\times3\times4+2\times{}^{3}C_{2}+{}^{2}C_{2}\times3=33).

Related tags

ToppingsAtleastCaseworkCombinationsPermutations And CombinationsMathematicsClass 11 Mcq
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