5. How many 6-digit numbers can be formed from the digits 0,1,3,5,7 and 9 which are divisible by 10 and no digit is repeated?

Respuesta :

There are 120 6-digit numbers that can be formed

How to determine the combination of digits?

The digits are given as:

0,1,3,5,7 and 9

Since the number must be divisible by 10.

Then the number must end in 0

The other 5 digits can take any of the 0,1,3,5,7.

So, the number of combination is:

Count = 5! * 1

Expand

Count = 5 * 4 * 3 *2 * 1 * 1

Evaluate

Count = 120

Hence, there are 120 6-digit numbers that can be formed

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