A group of tourists wants to visit only two or three of the four cities A, B, C, and D. How many travel itineraries can they make? All cities are connected to one another and please note that visiting the same cities in a different order counts as a different itinerary.  Choose the correct choice from the following answers:	A) 24	B) 28	C) 32	D) 36	E) 40
The number of ways to choose two cities is 4C2=6.   The number of itineraries for each pair of 2 cities is 2!.   So the number of itineraries to two cities is  6*2= 
<gadget id="calculator"> 6*2</gadget>
<output>12</output>
12.   The number of ways to choose three cities is 4C3=4.   The number of itineraries for each group of 3 cities is 3!.   So the number of itineraries to three cities is 4*3!=24.   The total number of itineraries is   12+24= 
<gadget id="calculator">  12+24</gadget>
<output>36</output>
36.   The answer is 36.
<result>D</result>
A group of tourists wants to visit only two or three of the four cities A, B, C, and D. How many travel itineraries can they make? All cities are connected to one another and please note that visiting the same cities in a different order counts as a different itinerary.