(A) We know that $n! = n \times (n-1) \times (n-2) \times \dots \times 1$. $7! = 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 5040$. $5!

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

(A) We know that $n! = n \times (n-1) \times (n-2) \times \dots \times 1$. $7! = 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 5040$. $5! = 5 \times 4 \times 3 \times 2 \times 1 = 120$. Therefore,$7! - 5! = 5040 - 120 = 4920$.

Class 11 Mathematics Permutations and Combinations Definition of permutation, Number of permutations with or without repetition, Conditional permutations

Easy

Evaluate $7! - 5!$

A
$4920$
B
$5040$
C
$4800$
D
$5160$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Mathematics Questions

Chapter

Permutations and Combinations

Subtopic

Definition of permutation, Number of permutations with or without repetition, Conditional permutations

The value of $^n{P_r}$ is equal to

EasyIIT 1971

View Solution

In a $12$-storied building, $3$ persons enter a lift cabin. It is known that they will leave the lift at different floors. In how many ways can they do so if the lift does not stop at the second floor?

EasyWBJEE 2020

View Solution

If $^{12}P_r = 1320$,then $r$ is equal to

Easy

View Solution

If all the words with or without meaning made using all the letters of the word $KANPUR$ are arranged as in a dictionary, then the word at $440^{th}$ position in this arrangement is:

DifficultJEE MAIN 2025

View Solution

Four speakers will address a meeting where speaker $Q$ will always speak before $P$. Then, the number of ways in which the order of speakers can be prepared is

EasyWBJEE 2012

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

Evaluate $7! - 5!$

Similar Questions

The value of $^n{P_r}$ is equal to

In a $12$-storied building, $3$ persons enter a lift cabin. It is known that they will leave the lift at different floors. In how many ways can they do so if the lift does not stop at the second floor?

If $^{12}P_r = 1320$,then $r$ is equal to

If all the words with or without meaning made using all the letters of the word $KANPUR$ are arranged as in a dictionary, then the word at $440^{th}$ position in this arrangement is:

Four speakers will address a meeting where speaker $Q$ will always speak before $P$. Then, the number of ways in which the order of speakers can be prepared is

Vedclass Test Series

Exam Paper Generator

Online Exam Module