Select the correct answer5 men and 5 women meet and men dance with women. Which of the following are always true? A. there are 2 men who have danced with same number of women. B. There are 2 women who have danced with same number of men.radio_button_uncheckedBoth A and Bradio_button_uncheckedA onlyradio_button_uncheckedB onlyradio_button_uncheckedNeither A nor B
Question
Select the correct answer5 men and 5 women meet and men dance with women. Which of the following are always true? A. there are 2 men who have danced with same number of women. B. There are 2 women who have danced with same number of men.radio_button_uncheckedBoth A and Bradio_button_uncheckedA onlyradio_button_uncheckedB onlyradio_button_uncheckedNeither A nor B
Solution
The correct answer is "Both A and B". This is because in a group of 5 men and 5 women, each man can only dance with one woman and each woman can only dance with one man. Therefore, there will always be 2 men who have danced with the same number of women (1 each) and 2 women who have danced with the same number of men (1 each).
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