English

Evaluate: (10 – 6)! - Mathematics and Statistics

Advertisements
Advertisements

Question

Evaluate: (10 – 6)!

Sum
Advertisements

Solution

(10 – 6)! = 4!

= 4 × 3 × 2 × 1

= 24

shaalaa.com
Factorial Notation
  Is there an error in this question or solution?
Chapter 3: Permutations and Combination - Exercise 3.2 [Page 49]

APPEARS IN

Balbharati Mathematics and Statistics 2 (Arts and Science) [English] Standard 11 Maharashtra State Board
Chapter 3 Permutations and Combination
Exercise 3.2 | Q 1. (iv) | Page 49

RELATED QUESTIONS

Evaluate: 8!


Evaluate: 10! – 6!


Compute: `(12!)/(6!)`


Compute: `(12/6)!`


Compute: 3! × 2!


Compute: `(8!)/((6 - 4)!)`


Write in terms of factorial.

5 × 6 × 7 × 8 × 9 × 10


Evaluate : `("n"!)/("r"!("n" - "r")!)` for n = 8, r = 6


Evaluate : `("n"!)/("r"!("n" - "r")!)` for n = 12, r = 12


Evaluate `("n"!)/("r"!("n" - "r")!)` for n = 15, r = 10


Find n, if `"n"/(6!) = 4/(8!) + 3/(6!)`


Find n, if `(1!)/("n"!) = (1!)/(4!) - 4/(5!)`


Find n, if (n + 1)! = 42 × (n – 1)!


Find n, if (n + 3)! = 110 × (n + 1)!


Find n, if: `((17 - "n")!)/((14 - "n")!)` = 5!


Find n, if: `((15 - "n")!)/((13 - "n")!)` = 12


Find n, if: `((2"n")!)/(7!(2"n" - 7)!) : ("n"!)/(4!("n" - 4)!)` = 24 : 1


Show that `("n"!)/("r"!("n" - "r")!) + ("n"!)/(("r" - 1)!("n" - "r" + 1)!) = (("n" + 1)!)/("r"!("n" - "r" + 1)!)`


Show that `((2"n")!)/("n"!)` = 2n (2n – 1)(2n – 3) ... 5.3.1


Simplify `((2"n" + 2)!)/((2"n")!)`


Simplify n[n! + (n – 1)!] + n2(n – 1)! + (n + 1)!


Simplify `("n" + 2)/("n"!) - (3"n" + 1)/(("n" + 1)!)`


Simplify `1/("n"!) - 3/(("n" + 1)!) - ("n"^2 - 4)/(("n" + 2)!)`


Select the correct answer from the given alternatives.

In how many ways can 8 Indians and, 4 American and 4 Englishmen can be seated in a row so that all person of the same nationality sit together?


In how many ways can 10 examination papers be arranged so that the best and the worst papers never come together?


Eight white chairs and four black chairs are randomly placed in a row. The probability that no two black chairs are placed adjacently equals.


Find the number of integers greater than 7,000 that can be formed using the digits 4, 6, 7, 8, and 9, without repetition: ______


If `((11 - "n")!)/((10 - "n")!) = 9,`then n = ______.


3. 9. 15. 21 ...... upto 50 factors is equal to ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×