Of the three-digit integers greater than 700, how many have distinct digits? Pick: A) 216 B) 82 C) 80 D) 45 E) 36
Three digit number can have only following 3 patterns:   A. all digits are distinct;   B. two digits are alike and third is different;   C. all three digits are alike.   We need to calculate B. B=Total - A - C   Total numbers from 700 to 999 = 299 (3-digit numbers greater than 700);   A. all digits are distinct = 3*9*8= 
<gadget id="calculator">3*9*8</gadget>
<output>216</output>
216   216nswer: 216
<result>A</result>
Of the three-digit integers greater than 700, how many have distinct digits?