Of the 200 math majors at a certain university, 50 percent will be assigned to advanced calculus on Monday and Wednesday and the remaining 70 percent will be assigned to advanced calculus on Tuesday and Thursday. However, 40 percent of the math majors prefer Tuesday and Thursday and 60 percent prefer Monday and Wednesday. What is the lowest possible number of math majors who will NOT be assigned to the days they prefer?  Choose the correct choice from the following options.
A) 15	B) 20	C) 30	D) 45	E) 60
30% of students are assigned to Monday and Wednesday = 0.3*200= 
<gadget id="calculator">0.3*200</gadget>
<output>60</output>
60   70% of students are assigned to Tuesday and Thursday= 0.7*200= 
<gadget id="calculator">0.7*200</gadget>
<output>140</output>
140   60% of students prefer Monday and Wednesday= 0.6*200= 
<gadget id="calculator">0.6*200</gadget>
<output>120</output>
120   40% of students prefer Tuesday and Thursday= 0.4*200= 
<gadget id="calculator">0.4*200</gadget>
<output>80</output>
80   Since we need theleastnumber of students who will not be assigned to their preferred days, we shall fit in themaximumpossible students as per their preference:   All of the 40% of students who prefer Tuesday and Thursday can be accommodated to their preferred days, whereas only 60 out of 120 students who prefer Monday and Wednesday can be accommodated to their preferred days.   The remaining 15 students who prefer Monday and Wednesday will be allocated to Tuesday and Thursday by default, which is not their choice.   15nswer is 15.
<result>A</result>
Of the 200 math majors at a certain university, 50 percent will be assigned to advanced calculus on Monday and Wednesday and the remaining 70 percent will be assigned to advanced calculus on Tuesday and Thursday. However, 40 percent of the math majors prefer Tuesday and Thursday and 60 percent prefer Monday and Wednesday. What is the lowest possible number of math majors who will NOT be assigned to the days they prefer?