howmany 3 digit numbers are there tens digit place is more than hundreds digit place and units place less than hundreds digit place?	Answers
A) 80
B) 100
C) 110
D) 120
E) 140
we have numbers {0,1,2,3,4,5,6,7,8,9}   now we would decide the cases on behalf of value of hundred place digit. and accordingly choose unit's digit and ten's digit.   value of hundred place digit must be choosen in such a manner that there should exist a greater digit for ten's place and a smaller digit for unit place.   thus we can have values of hundred's digit from 1,2,3,4,5,6,7,8 only   now starting from hundred's digit=8 :   hundred's digit possible values for ten's digit possible values for unit digit total ways   8 9 0,1,2,3,4,5,6,7 1*1*8=8   7 8,9 0,1,2,3,4,5,6 1*2*7=14   6 7,8,9 0,1,2,3,4,5 1*3*6=18   5 6,7,8,9 0,1,2,3,4 1*4*5=20   4 5,6,7,8,9 0,1,2,3 1*5*4=20   3 4,5,6,7,8,9 0.1.2 1*6*3=18   2 3,4,5,6,7,8,9 0,1 1*7*2=14   1 2,3,4,5,6,7,8,9 0 1*8*1=8   so, total no of cases=8+14+18+20+20+18+14+8= 
<gadget id="calculator">8+14+18+20+20+18+14+8</gadget>
<output>120</output>
120   hence total no of possible 3 digit numbers= 120   ANSWER:120
<result>D</result>
howmany 3 digit numbers are there tens digit place is more than hundreds digit place and units place less than hundreds digit place?