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Every man on earth has made a certain number of handshakes
Every man on earth has made a certain number of handshakes. Prove that the number of people who have made an odd number of handshakes is even.
In how many arrangements can a teacher seat 3 girls and 3 boys in a row of 6 seats if the boys are to have the first, third, and fifth seats? (A) 6 (B) 9 (C) 12 (D) 36 (E) 720
Ben and Ann are among 7 contestants from which 4 semifinalists are to be selected. Of the different possible selections, how many contain neither Ben nor Ann? (A) 5 (B) 6 (C) 7 (D) 14 (E) 21
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