In how many ways can the letters of word EDUCATION be arranged such that all vowels appear together?	Choose the correct choice from the following options:
A) 72000 B) 15000 C) 14400 D) 14200 E) 13201
EDUCATION=Has 5 vowels(AEIOU) and 4 consonant(DCTN)   Total letters=9   For Consonant=5!(that is 4+1 letters. one comes from the vowels )   =5*4*3*2*1= 
<gadget id="calculator">5*4*3*2*1</gadget>
<output>120</output>
120 ways   For Vowels=5!=5*4*3*2*1= 
<gadget id="calculator">5*4*3*2*1</gadget>
<output>120</output>
120   Total number of ways=120*120= 
<gadget id="calculator">120*120</gadget>
<output>14_400</output>
14400 ways   Option 14400
<result>C</result>
In how many ways can the letters of word EDUCATION be arranged such that all vowels appear together?