Advertisements
Advertisements
प्रश्न
Evaluate: `("n"!)/("r"!("n" - "r"!)` For n = 12, r = 12
उत्तर
n = 12, r = 12
∴ `("n"!)/("r"!("n" - "r"!)) = (12!)/(12!(12 - 12)!) =(12!)/(12! 0!)`
= 1 ...[∵ 0! = 1]
APPEARS IN
संबंधित प्रश्न
A teacher wants to select the class monitor in a class of 30 boys and 20 girls, in how many ways can the monitor be selected if the monitor must be a boy? What is the answer if the monitor must be a girl?
Evaluate: 6!
Evaluate: 8! – 6!
Compute: (3 × 2)!
Compute: `(6! - 4!)/(4!)`
Compute: `(8!)/((6 - 4)!)`
Write in terms of factorial:
5 × 6 × 7 × 8 × 9 × 10
Write in terms of factorial:
6 × 7 × 8 × 9
Write in terms of factorial:
5 × 10 × 15 × 20 × 25
Find n, if `"n"/(8!) = 3/(6!) + 1/(4!)`
Find n, if `1/("n"!) = 1/(4!) - 4/(5!)`
Find n, if: `((17 - "n")!)/((14 - "n")!)` = 5!
Show that
`("n"!)/("r"!("n" - "r")!) + ("n"!)/(("r" - 1)!("n" - "r" + 1)!) = (("n" + 1)!)/("r"!("n" - "r" + 1)!`
Find the value of: `(8! + 5(4!))/(4! - 12)`
Five balls are to be placed in three boxes, where each box can contain up to five balls. Find the number of ways if no box is to remain empty.
How many quadratic equations can be formed using numbers from 0, 2, 4, 5 as coefficient if a coefficient can be repeated in an equation.
