How many five-digit numbers can be formed usi | vedclass

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

Question

(A) The given digits are $2, 0, 4, 3, 8$. There are $5$ distinct digits.$A$ five-digit number cannot have $0$ in the ten-thousands place.Total permuta

Vedclass · Accepted Answer

$96$

Vedclass · Answer

(A) The given digits are $2, 0, 4, 3, 8$. There are $5$ distinct digits.$A$ five-digit number cannot have $0$ in the ten-thousands place.Total permutations of $5$ digits taken all at a time is $5! = 120$.Permutations where $0$ is in the ten-thousands place (fixing $0$ at the first position,we arrange the remaining $4$ digits in the remaining $4$ places) is $4! = 24$.Therefore,the number of five-digit numbers that can be formed is $5! - 4! = 120 - 24 = 96$.

How many five-digit numbers can be formed using the digits $2, 0, 4, 3, 8$ if repetition of digits is not allowed?

Similar Questions

The digits $4, 5, 6, 7, 8$ are written in every possible order. The number of numbers greater than $56000$ is

How many words can be formed using the letters of the word $COMMITTEE$?

In how many ways can a cricket team of $11$ players be selected out of $16$ players if $2$ particular players are to be included and $1$ particular player is to be rejected?

How many permutations can be made by using all the letters of the word $MATHEMAGICA$?

The value of $\sum\limits_{r = 1}^{15} {{r^2}\,\left( {\frac{{^{15}{C_r}}}{{^{15}{C_{r - 1}}}}} \right)} $ is equal to

Vedclass Test Series

Exam Paper Generator

Online Exam Module