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प्रश्न
Compute: `(8!)/(6! - 4!)`
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उत्तर
`(8!)/(6! - 4!)`
=` (8 xx 7 xx 6 xx 5 xx 4!)/(6 xx 5 xx 4! - 4!)`
= `(4!(8 xx 7 xx 6 xx 5))/(4!(6 xx 5- 1)`
= `(1680)/(29)`
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संबंधित प्रश्न
If numbers are formed using digits 2, 3, 4, 5, 6 without repetition, how many of them will exceed 400?
Evaluate: 8!
Evaluate: 6!
Evaluate: (8 – 6)!
Compute: 3! × 2!
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:
5 × 10 × 15 × 20 × 25
Evaluate: `("n"!)/("r"!("n" - "r"!)` For n = 8, r = 6
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)!
Find n if: `("n"!)/(3!("n" - 3)!) : ("n"!)/(5!("n" - 5)!)` = 5:3
Find n if: `("n"!)/(3!("n" - 5)!) : ("n"!)/(5!("n" - 7)!)` = 10:3
Find n, if: `((15 - "n")!)/((13 - "n")!)` = 12
Show that: `((2"n")!)/("n"!)` = 2n(2n – 1)(2n – 3)....5.3.1
A question paper has 6 questions. How many ways does a student have if he wants to solve at least one question?
