Question

How many numbers greater than 1,000,000 can be formed by using the digits 1,2,0,2,4,2,4

Answer 1

According to the question:

We have total 7 digit in 1000000

We need to form a 7 digit number using the digit 1, 2, 0, 2, 4, 2, 4

If the number begin with 1

The remaining digit to be arranged will be 0, 2, 2, 2, 4, 4,

Here three 2s & two 4s

Number of remaining digit = 6

Thus, ,n = 6

since, three 2s & two 4s

& $p_1=3,p_2=2$

THe numbers of numbers begining with 1 = $\frac{n!}{p_1!p_2!}$

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

$=\frac{6\times 5\times 4\times 3!}{3!\times 2\times 1}=60$