## How many 5-digit numbers can be formed using the digits 0,1,2,3,4,5,6, if repetition of digits is not allowed? A. 119 B. 16,807<

Question

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## Answers ( )

Answer:Is it 2160?

Step-by-step explanation:This is permutation

Imagine □□□□□, each □ represents a digit

For the 1st □, there are 6 choices,

since “0” cannot be the first digit, or else it is not a 5-digit numberFor the 2nd □, there are 6 choices (1 out of the 7 number is already used)

For the 3rd □, there are 5 choices (2 out of 7 numbers are used)

And so on…..

Therefore,

6×6×5×4×3 = 2160