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QUESTION SET
Q
If the repetition of the digits is not allowed?
A
1420
B
16540
C
8560
D
5040
E
17640
A
1420
B
16540
C
8560
D
5040
E
17640
Solution
There are eight options available to fill six places(in a six digit number).
The first place can be filled in 7 ways as 0 cannot be the first number.
Since...
There are eight options available to fill six places(in a six digit number).
The first place can be filled in 7 ways as 0 cannot be the first number.
Since repetition is not allowed remaining places can be filled in 7, 6, 5, 4, 3 ways respectively.
Hence the number of six digit numbers that can be formed without repetition
= 7 × 7 × 6 × 5 × 4 × 3
= 17640
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