Compute Probabilities Involving Permutations and Combinations

question 58

Multiple Choice

Compute Probabilities Involving Permutations and Combinations
-In how many ways can a committee of three men and four women be formed from a group of 11 men and 11 women

• A) 54450
• B) 7,840,800
• C) 554400
• D) 110

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Definitions:

Proposition

An articulation or statement that communicates a judgement or perspective.

Disproven

Shown to be false or incorrect through evidence or logical argument.

Contradictory

Relating to statements, ideas, or propositions that directly oppose each other in such a way that if one is true, the other must be false.

Contradictories

In the traditional and modern squares of opposition, a pair of categorical propositions that, in virtue of their logical form, could neither both be true nor both be false (A and O, E and I).