Question

How many seven digit numbers can be formed using the digits 1,2,0,2,4,2 and 4?
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Answer 1

Answer:

Answer = 360

Step-by-step explanation:

Total Number of Digits = 7

Repetition of 2 is = 3

Repetition of 4 is = 2

The total Numbers that can be formed are given as;

                 = $\frac{7!}{2!*3!}$

                 = 420

Number of digits when 0 is on extreme left position

                 = $\frac{6!}{2!*3!}$ = 60

Total seven digit numbers that can formed are = 420 - 60 = 360