Pamela Leutwyler. Every member of a club is a doctor or a lawyer. All the lawyers are men. There are 37 women, 17 lawyers and 70 doctors. 25 men are not.

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Presentation transcript:

Pamela Leutwyler

Every member of a club is a doctor or a lawyer. All the lawyers are men. There are 37 women, 17 lawyers and 70 doctors. 25 men are not lawyers. How many members of the club hold both law and medical degrees?

Every member of a club is a doctor or a lawyer. All the lawyers are men. There are 37 women, 17 lawyers and 70 doctors. 25 men are not lawyers. How many members of the club hold both law and medical degrees? if D  L = U then D'  L' =  D'D' L'L'

Every member of a club is a doctor or a lawyer. All the lawyers are men. There are 37 women, 17 lawyers and 70 doctors. 25 men are not lawyers. How many members of the club hold both law and medical degrees? if D  L = U then D'  L' =  D'D' L'L' or if everyone is a doctor or a lawyer then all those who are not doctors are lawyers. if D  L = U then D'  L D'D' L

Every member of a club is a doctor or a lawyer. All the lawyers are men. There are 37 women, 17 lawyers and 70 doctors. 25 men are not lawyers. How many members of the club hold both law and medical degrees? D'D' L'L' D'D' L if L  M then M'  L' W  L' W=women W

Every member of a club is a doctor or a lawyer. All the lawyers are men. There are 37 women, 17 lawyers and 70 doctors. 25 men are not lawyers. How many members of the club hold both law and medical degrees? D'D' L'L' D'D' L if L  M then M'  L' W  L' W or M

Every member of a club is a doctor or a lawyer. All the lawyers are men. There are 37 women, 17 lawyers and 70 doctors. 25 men are not lawyers. How many members of the club hold both law and medical degrees? D'D' L'L' D'D' L W M 37

Every member of a club is a doctor or a lawyer. All the lawyers are men. There are 37 women, 17 lawyers and 70 doctors. 25 men are not lawyers. How many members of the club hold both law and medical degrees? D'D' L'L' D'D' L W M 37 25

Every member of a club is a doctor or a lawyer. All the lawyers are men. There are 37 women, 17 lawyers and 70 doctors. 25 men are not lawyers. How many members of the club hold both law and medical degrees? D'D' L'L' D'D' L W M

Every member of a club is a doctor or a lawyer. All the lawyers are men. There are 37 women, 17 lawyers and 70 doctors. 25 men are not lawyers. How many members of the club hold both law and medical degrees? D'D' L'L' D'D' L W M

Every member of a club is a doctor or a lawyer. All the lawyers are men. There are 37 women, 17 lawyers and 70 doctors. 25 men are not lawyers. How many members of the club hold both law and medical degrees? D'D' L'L' D'D' L W M

Every member of a club is a doctor or a lawyer. All the lawyers are men. There are 37 women, 17 lawyers and 70 doctors. 25 men are not lawyers. How many members of the club hold both law and medical degrees? D'D' L'L' D'D' L W M n( L  D ) = ?

Every member of a club is a doctor or a lawyer. All the lawyers are men. There are 37 women, 17 lawyers and 70 doctors. 25 men are not lawyers. How many members of the club hold both law and medical degrees? D'D' L'L' D'D' L W M n( L  D ) = 8