Math, asked by abdulbasithmoosa786, 23 days ago

how many 3 digit numbers can be formed using the digits 2,3,4. What is the probability of getting even numbers. What is the probability of getting odd numbers​

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Answered by paripehukumari
3

Step-by-step explanation:

A three digit even number is to be formed from given 6 digits 1,2,3,4,6,7.

□□□HTO

Since, for the number is to be even , so ones place can be filled by 2,4 or 6. So, there are 3 ways to fill ones place.

Since, repetition is not allowed , so tens place can be filled by remaining 5 digits. So, tens place can be filled in 5 ways.

Similarly, hundred's place can be filled by remaining 4 digits. So, hundred's place can be filled in 4 ways.

So,required number of ways in which three digit even numbers can be formed from the given digits is 4×5×3=60

Alternative Method:

3-digit even  numbers are to be formed using the given six digits, ,2,3,4,6 and 7, without repeating the digits.

Then, units digits can be filled in 3 ways by any of the digits, 2,4 or 6.

Since the digits cannot be repeated in the 3-digit numbers and units place is already occupied with a digit (which is even), the hundreds and tens place is to be filled by the remaining 5 digits.

 Therefore, the number of ways in which hundreds and tens place can be filled with the remaining 5 digits Is the permutation of 5 different digits taken 2 at a time.

5P2=(5−2)!5!=3!5!

Number of ways of filling hundreds and tens place

=3!5×4×3!=20

Thus, by multiplication principle, the required number of 3-digit numbers is 3×20=60 

Answered by 6a33srihari
1

Step-by-step explanation:

how many 3 digit numbers can be formed using the digits 2,3,4

answer: 234, 243, 324, 342, 423, 432.

What is the probability of getting even numbers.

answer: 4/6.

What is the probability of getting odd numbers

answer: 2/6

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