Advertisements
Advertisements
प्रश्न
Simplify `("n" + 2)/("n"!) - (3"n" + 1)/(("n" + 1)!)`
उत्तर
`("n" + 2)/("n"!) - (3"n" + 1)/(("n" + 1)!) = ("n" + 2)/("n"!) - (3"n" + 1)/(("n" + 1)."n"!)`
= `(("n" + 1)("n" + 2) - (3"n" + 1))/(("n" + 1)*"n"!)`
= `("n"^2 + 3"n" + 2 - 3"n" - 1)/(("n" + 1)*"n"!)`
= `("n"^2 + 1)/(("n" + 1)!)`
APPEARS IN
संबंधित प्रश्न
Evaluate: 10!
Evaluate: 10! – 6!
Evaluate: (10 – 6)!
Compute: `(12!)/(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.
3 × 6 × 9 × 12 × 15
Write in terms of factorial.
5 × 10 × 15 × 20
Evaluate : `("n"!)/("r"!("n" - "r")!)` for n = 8, r = 6
Evaluate : `("n"!)/("r"!("n" - "r")!)` for n = 15, r = 8
Find n, if `"n"/(8!) = 3/(6!) + (1!)/(4!)`
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: `((15 - "n")!)/((13 - "n")!)` = 12
Simplify `(("n" + 3)!)/(("n"^2 - 4)("n" + 1)!)`
Simplify `1/("n"!) - 1/(("n" - 1)!) - 1/(("n" - 2)!)`
Simplify `1/("n"!) - 3/(("n" + 1)!) - ("n"^2 - 4)/(("n" + 2)!)`
In how many ways can 10 examination papers be arranged so that the best and the worst papers never come together?
Select the correct answer from the given alternatives.
In how many ways 4 boys and 3 girls can be seated in a row so that they are alternate
Select the correct answer from the given alternatives.
Find the number of triangles which can be formed by joining the angular points of a polygon of 8 sides as vertices.
Answer the following:
Find the number of words that can be formed by using all the letters in the word REMAIN If these words are written in dictionary order, what will be the 40th word?
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 ______.
