What is the combination of three digits using 0 to 9 digits without repeating the digits?
Answers
Answer:
jheehhesjddjwj we dhh
Step-by-step explanation:
3-digit even numbers are to be formed using the given six digits, ,2,3,4,6 and 7, without repeating the digits.
Then, units digits can be filled in 3 ways by any of the digits, 2,4 or 6.
Since the digits cannot be repeated in the 3-digit numbers and units place is already occupied with a digit (which is even), the hundreds and tens place is to be filled by the remaining 5 digits.
Therefore, the number of ways in which hundreds and tens place can be filled with the remaining 5 digits Is the permutation of 5 different digits taken 2 at a time.
5
P
2
=
(5−2)!
5!
=
3!
5!
Number of ways of filling hundreds and tens place
=
3!
5×4×3!
=20
Thus, by multiplication principle, the required number of 3-digit numbers is 3×20=60