If each digit in the set A = {1, 2, 3, 4, 5} is used exactly once, in how many ways can the 5 digits be arranged? Choose the correct choice from the following options:
A) 6  B) 24  C) 72  D) 96  E) 120
Use the slot method for all the possible arrangements:   we have 5 options for the 1st slot, 4 for the 2nd, 3 for 3rd , 2 for 4th and 1 for the 5th, giving the total number of   arrangements = 5*4*3*2*1= 
<gadget id="calculator">5*4*3*2*1</gadget>
<output>120</output>
120,   120 is the correct answer.
<result>E</result>
If each digit in the set A = {1, 2, 3, 4, 5} is used exactly once, in how many ways can the 5 digits be arranged?