Home
Class 12
MATHS
How many numbers can be formed from the ...

How many numbers can be formed from the digits 1, 2, 3, 4 when repetition is not allowed?

Text Solution

Verified by Experts

The correct Answer is:
`.^(4)P_(1)+.^(4)P_(2)+.^(4)P_(3)+.^(4)P_(4)`
The number of 1-digit numbers is `.^(4)P_(1)`. The number of 2-digit numbers is `.^(4)P_(2)`. The number of 3-digit numbers is `.^(4)P_(3)`. The number of 4-digit numbers is `.^(4)P_(4)`. Hence, the required number is `.^(4)P_(1)+ .^(4)P_(3)+ .^(4)P_(4)`.
Promotional Banner

Similar Questions

Explore conceptually related problems

The number less than 1000 that can be formed using the digits 0, 1, 2, 3, 4, 5 when repetition is not allowed is equal to a. 130 b. 131 c. 156 d. 155

How many different numbers of 4 digits can be formed from the digits 0, 1, 2, ...9 if repetition is allowed.

Find the three-digit odd numbers that can be formed by using the digits 1, 2, 3, 4, 5, 6 when the repetition is allowed.

How many 4 digit numbers can be formed from the digits 1, 1, 2, 2, 3, 3, 4, 5 ?

How many 4-digit numbers can be formed from the digits 1, 1, 2, 2, 3, 3,4, 5?

How many numbers of five digits can be formed from the numbers 0,1,2,3,4 when repetition of digits is not allowed ?

How many 4 - digit numbers can be formed from the digits 1,1,2,2,3,3,4,5?

How many 4-digit numbers can be formed by using the digits 1 to 9 if repetition of digits is not allowed?

How many numbers of five digits can be formed with the digits 0,1,2,3,4, repetitions s being not allowed?

How many 2 digit even numbers can be formed from the digits 1, 2, 3, 4, 5 if the digits can be repeated?