Question

the number of 6-digits even that can be made from the number 214635 are:​

Answer 1

Answer:

720 ways

Step-by-step explanation:

Step-by-step explanation:

Given : Number is 214635

To find : The number of 6 digit even numbers that can be made from the number 214635 are

Solution :

The given number consists of 6 distinct digits

1, 2, 3, 4, 5 and 6

For a number to be even, units digit should be divisible by 2.

Hence, the last digit of the number should be either 2 or 4 or 6.

So, the unit digit has chosen in 3! ways

If one digit is fixed at unit's place, then rest of the 5 places can

be chosen from the remaining 5 digits in 5! ways,

Hence, total number of 6 digit numbers that can be made will be

3!\times 5!= 3\times 2\times 1\times 5\times 4\times 3\times 2\times 1=7203!×5!=3×2×1×5×4×3×2×1=720

Therefore, There are 720 ways in which the number of 6 digit can be form by the number 214635.

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