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5 votes
How many 7-digit numbers can be

created from the digits 9, 3, 5, 1, 7, 4
and 8 without repeating any?

User Rodalm
by
5.5k points

1 Answer

3 votes

Answer: 5040 7-digit numbers

Explanation:

Permutations:

1: 1 ==> 1 permutation ==> 1 ==> 1!

12: 12, 21 ==> 2 permutations ==> 1*2 ==> 2!

123: 123, 132, 213, 231, 312, 321 ==> 6 permutations ==> 1*2*3 ==> 3!

7-digits: 7!=

1*2*3*4*5*6*7=5040 7-digit numbers

User Nathan Waters
by
6.0k points