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प्रश्न
Find the value of: `(8! + 5(4!))/(4! - 12)`
उत्तर
`(8! + 5(4!))/(4! - 12)`
= `(8! + 5!)/(4xx3xx2-12)`
= `(8 xx 7 xx 6 xx 5! + 5!)/(4xx3xx(2-1))`
= `(5!(8xx7xx6+1))/(4xx3)`
= `(5xx4xx3xx2xx1(336+1))/(4xx3)`
= 5 × 2 × 337
= 3370
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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: `(12!)/(6!)`
Compute: `(12/6)!`
Compute: `(8!)/(6! - 4!)`
Compute: `(8!)/((6 - 4)!)`
Write in terms of factorial:
5 × 6 × 7 × 8 × 9 × 10
Write in terms of factorial:
3 × 6 × 9 × 12 × 15
Write in terms of factorial:
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Find n, if `"n"/(8!) = 3/(6!) + 1/(4!)`
Find n, if `1/("n"!) = 1/(4!) - 4/(5!)`
Find n, if (n + 1)! = 42 × (n – 1)!
Show that
`("n"!)/("r"!("n" - "r")!) + ("n"!)/(("r" - 1)!("n" - "r" + 1)!) = (("n" + 1)!)/("r"!("n" - "r" + 1)!`
Show that: `(9!)/(3!6!) + (9!)/(4!5!) = (10!)/(4!6!)`
Find the value of: `(5(26!) + (27!))/(4(27!) - 8(26!)`
Show that: `((2"n")!)/("n"!)` = 2n(2n – 1)(2n – 3)....5.3.1
