SAT Math Problem

Pre-College Issues High School Life
1

<p>Hey I need a little help with this SAT math problem</p>

<p>Ann, Benito, Chantra, and Desiree are each to be assigned to 1 of 2 vehicles, a bus or a van. How many different assignments of these 4 people are possible if at least 1 person must be assigned to each vehicle?</p>

<p>(A) Four
(B) Six
(C) Seven
(D) Twelve
(E) Fourteen</p>

<p>I know the answer is E. Can someone explain this to me? Thank you.</p>

2

<p>2<em>2</em>2*2 - 2 = 14</p>

<p>Explanation: For each of the four people there are two choices (a van or a bus),that's why we have 2<em>2</em>2*2. We need to subtract 2, because they can't all get a van, and they can't all get a bus. We're left with 14.</p>

3

<p>why can't they all get a van, or why can't they all get a bus?</p>

4

<p>"at least 1 person must be assigned to each vehicle"</p>