How many 3 digit no. Can …
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Posted by Shiv Kachhela 4 years, 4 months ago
- 2 answers
Yogita Ingle 4 years, 4 months ago
A three digit number is to be formed from given 9 digits 1,2,3,4,5,6,7,8,9.
⇒Now, there are 9 ways to fill Ones place.
⇒Since repetition is not allowed, so Tens place can be filled by the remaining 8 digits.
So, tens place can be filled in 8 ways.
⇒Similarly, to fill Hundreds of places, we have 7 digits remaining.
So, hundreds can be filled by 7 ways.
⇒So, the required number of ways in which three-digit numbers can be formed from the given digits is 9×8×7=504
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Gaurav Seth 4 years, 4 months ago
A three digit number is to be formed from given 9 digits 1,2,3,4,5,6,7,8,9.
□□□HTO
⇒Now, there are 9 ways to fill Ones place.
⇒Since repetition is not allowed, so Tens place can be filled by the remaining 8 digits.
So, tens place can be filled in 8 ways.
⇒Similarly, to fill Hundreds of places, we have 7 digits remaining.
So, hundreds can be filled by 7 ways.
⇒So, the required number of ways in which three-digit numbers can be formed from the given digits is 9×8×7=504
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