How many numbers can be formed from the digit | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) To form numbers using the digits $1, 2, 3, 4$ without repetition,we can form numbers of different lengths:- Number of $1$-digit numbers $= ^4P_1 =

Vedclass · Accepted Answer

$^4P_1 + ^4P_2 + ^4P_3 + ^4P_4$

Vedclass · Answer

(D) To form numbers using the digits $1, 2, 3, 4$ without repetition,we can form numbers of different lengths:- Number of $1$-digit numbers $= ^4P_1 = 4$- Number of $2$-digit numbers $= ^4P_2 = 4 	imes 3 = 12$- Number of $3$-digit numbers $= ^4P_3 = 4 	imes 3 	imes 2 = 24$- Number of $4$-digit numbers $= ^4P_4 = 4 	imes 3 	imes 2 	imes 1 = 24$Since these cases are mutually exclusive,the total number of possible numbers is the sum of these values:Total $= ^4P_1 + ^4P_2 + ^4P_3 + ^4P_4$.

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

Similar Questions

How many different ways can the letters in the word $ATTEND$ be arranged?

From a group of $7$ men and $6$ women,five persons are to be selected to form a committee so that at least $3$ men are there on the committee. In how many ways can it be done?

In how many different ways can the letters of the word '$PRAISE$' be arranged?

How many $3$-digit numbers can be formed using $0, 1, 3, 5, 7$ when repetition is allowed?

Total number of $6$-digit numbers in which only and all the five digits $1, 3, 5, 7,$ and $9$ appear,is

Vedclass Test Series

Exam Paper Generator

Online Exam Module