in how many 3 digit numericals 8 appear only once
Answers
Answer:
To find the total three digit number in which 8 will appear only once
CASE 1: the total three digit number in which 8 will appear on unit place only = 8*9*1=72
CASE 2: the total three digit number in which 8 will appear on ten place only = 8*1*9=72
CASE 3: the total three digit number in which 8 will appear on hundred place only = 1*9*9=81
SO, the total three digit number in which 8 will appear only once=72+72+81=225
To find the total three digit number in which 8 will appear two times
CASE 1: the total three digit number in which 8 will appear on unit place and ten place =8*1*1=8
CASE 2: the total three digit number in which 8 will appear on unit place and hundred place =1*9*1=9
CASE 3: the total three digit number in which 8 will appear on ten place and hundred place =1*1*9=9
SO,the total three digit number in which 8 will appear two times=8+9+9=26
the total three digit number in which 8 will appear all three times=1*1*1=1
Now no of times 8 will appear in three digit number=225+2*26+3*1=225+52+3=280
Step-by-step explanation:
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Answer:
108,208,308,408,508,608,708,908
180,280,380,480,580,680,780,980
801,802,803,804,805,806,807,809
800