Question

In how many ways can the digits in the number 7,444,000 be arranged?

Answer 1

The arrangements of the digits is an illustration of factorials

The digits of 7,444,000 can be arranged in 140 ways

How to determine the number of arrangement?

The number is given as: 7,444,000

From the given number, we have the following parameters:

Total (n) = 7

n(4) = 3

n(0) = 3

So, the number (N) of arrangement is:

$N = \frac{n!}{n(4)! * n(0)!}$

Substitute known values

$N = \frac{7!}{3! * 3!}$

Evaluate the factorials

$N = \frac{5040}{6 * 6}$

Evaluate the quotient

$N = 140$

Hence, the digits of 7,444,000 can be arranged in 140 ways

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