Question

Three digit numbers are formed using digits 0,2,4,6,8 .Anumber is chosen at random out of these numbers. What is the probability that number has same digits​

Answer 1

Step-by-step explanation:

The given digits are 0, 2, 4, 6, 8.

____ ____ ____

Hundreds Tens Ones

Now, there are 4 ways to fill the hundreds place (0 cannot occupy the hundreds place), 5 ways to fill the tens place and 5 ways to fill the ones place.

Total number of 3 digit numbers formed using the given digits = 4 × 5 × 5 = 100

The three digit numbers formed using given digits that have the same digits are 222, 444, 666 and 888.

Number of 3 digit numbers that have the same digits = 4

∴ P(three digit number formed has the same digits) = Number of 3 digit numbers that have the same digitsTotal number of 3 digit numbers formed using the given digits=4100=125

hope this helps.

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