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how many 3 digit even number can be formed from the digit 1 2 3 4 5 6 and 6 can't be repeated ​

Sagot :

Answer:

90 numbers

Step-by-step explanation:

Total choices(don’t care about anything)

6*6*6= 216 numbers

Half of these numbers are odd because the odd numbers are just 1,3,5

6*6*3=108

the three is there because there is 3 odd digits

we can subtract this from 216 along with the numbers that have a repeated 6

Repeating 6’s

case 1: 66_

66 and any other number

remember: we have 6 choices for the last number

number of choices= 1*1*6=6 (the 1’s are there because 6 is the only digit that can come there).

case 2: 6_6

just like last time we have 1*6*1 choices=6

cool?

case 3: _66

again, we have 6*1*1=6 choices

So, we have 18 numbers where 6 repeats itself

Plan: total numbers minus the odd numbers and 6 repeats

216-108-18=90

answer 90 numbers

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