How many numbers, lying between 99 and 1000 be made from the digits 2, 3, 7,0, 8, 6 when the digits occur only once
Answers
Answer:
number between 100 and 1,000 means a three digit number.
Accordingly place value chart it can be written as:
Hundred - Ten - Unit
given digits are 0.2,3,4,6,8,9
As at unit digit the number which come must be a non-zero number otherwise that will not be lie between 100 and 1,000. Therefore, at Hundred place you can put any number among the given numbers except zero. (means total 6)
At Ten place you can put any of seven given number to make a third digit number but another condition that is given is that each digit occurring only once. Therefore, you can put only six number in the ten place because one digit will be at hundred place among them. (means again 6 digit)
At Unit place you can put any of seven given number but to satisfy the given condition we can not put all the given number because among them two digits are already exists at Hundred and Ten places. So, you can only put Five numbers among the given. (means total 5)
Therefore, the numbers between 100 and 1,000 can be formed with the digits 0,2,3,4,6,8,9; and each digit occurring only once are equal to
= 6 • 6 • 5
= 180 (Answer)
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Answer:
number between 100 and 1,000 means a three digit number.
Accordingly place value chart it can be written as:
Hundred - Ten - Unit
given digits are 0.2,3,4,6,8,9
As at unit digit the number which come must be a non-zero number otherwise that will not be lie between 100 and 1,000. Therefore, at Hundred place you can put any number among the given numbers except zero. (means total 6)
At Ten place you can put any of seven given number to make a third digit number but another condition that is given is that each digit occurring only once. Therefore, you can put only six number in the ten place because one digit will be at hundred place among them. (means again 6 digit)
At Unit place you can put any of seven given number but to satisfy the given condition we can not put all the given number because among them two digits are already exists at Hundred and Ten places. So, you can only put Five numbers among the given. (means total 5)
Therefore, the numbers between 100 and 1,000 can be formed with the digits 0,2,3,4,6,8,9; and each digit occurring only once are equal to
= 6 • 6 • 5
= 180 (Answer)
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