Advertisements
Advertisements
Question
Evaluate: 8! – 6!
Advertisements
Solution
8! – 6!
= 8 × 7 × 6! – 6!
= 6! (8 × 7 − 1)
= 6! (56 − 1)
= 6! × 55
= 6 × 5 × 4 × 3 × 2 × 1 × 55
= 39,600
APPEARS IN
RELATED QUESTIONS
How many five-digit numbers formed using the digit 0, 1, 2, 3, 4, 5 are divisible by 3 if digits are not repeated?
Evaluate: 6!
Compute: `(12/6)!`
Compute: 3! × 2!
Compute: `(9!)/(3! 6!)`
Write in terms of factorial:
6 × 7 × 8 × 9
Evaluate: `("n"!)/("r"!("n" - "r"!)` For n = 12, r = 12
Find n, if `"n"/(8!) = 3/(6!) + 1/(4!)`
Find n, if (n + 3)! = 110 × (n + 1)!
Find n if: `("n"!)/(3!("n" - 5)!) : ("n"!)/(5!("n" - 7)!)` = 10:3
Find the value of: `(5(26!) + (27!))/(4(27!) - 8(26!)`
A hall has 12 lamps and every lamp can be switched on independently. Find the number of ways of illuminating the hall.
A question paper has 6 questions. How many ways does a student have if he wants to solve at least one question?
