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  • If no digit is repeated, how many 6-digit numbers can be created using only the digits 1 through 9?Option: 1 40590<

If no digit is repeated, how many 6-digit numbers can be created using only the digits 1 through 9?

Option: 1

40590


Option: 2

30580


Option: 3

50430

 


Option: 4

60480


Answers (1)

best_answer

Given that,

There are nine different digits, and we must choose 6 of them to create a 6-digit number; repetition is not permitted. 

Therefore, there will be as many 6-digit numbers as there are permutations of 9 different digits taken 6 at a time.

This is given by,

\begin{aligned} &{ }^9 P_6=\frac{9 !}{(9-6) !}\\\\ &{ }^9 P_6=\frac{9 !}{3 !}\\\\ &{ }^9 P_6=60480 \end{aligned}

Therefore, the number of digits formed is 60480.

Posted by

Irshad Anwar

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