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

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
C. 2,520
D. 120

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Quinn 28 mins 2021-10-13T04:20:07+00:00 1 Answer 0

Answers ( )

    0
    2021-10-13T04:21:11+00:00

    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 number

    For 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

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