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If np13 : (n+1)p12 =3 :4 then 'n' is ______
  • a)
    13
  • b)
    15
  • c)
    18
  • d)
    31
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Ifnp13:(n+1)p12 =3 :4 then 'n' is ______a)13b)15c)18d)31Correc...
NP13  :  (n+1)P 12 = 3  : 4

4( nP3) =  3 { (n+1) P 12)

4 ( n !/ (n-13) ! ) = 3 { (n+1)! / (n+1-12)!}
4 n !/ (n-13) ! = 3 ( (n+1)!/(n-11)!)
4. (n-11)! / (n-13)! = 3 (n+1)! / n!
4. (n-11)(n-12) = 3(n+1)
4 (n^2 - 23n  + 132) = 3n + 3
4n^2 - 92n + 528 - 3n -3 = 0
4x^2 - 95n + 525 = 0
(4n - 35)(n- 15)= 0
4n -35 = 0
n = 35/4  

n - 15 = 
n= 15
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Community Answer
Ifnp13:(n+1)p12 =3 :4 then 'n' is ______a)13b)15c)18d)31Correc...
Given equation: (n-1)p^2/3 = 4/3

To find: value of n

Solution:

Step 1: Simplifying the equation

Multiplying both sides by 3, we get:

(n-1)p^2 = 4

Dividing both sides by p^2, we get:

(n-1) = 4/p^2

Step 2: Substituting the value of p

From the given information, we know that:

p^2 = 3/4

Substituting this value in the above equation, we get:

(n-1) = 4/(3/4)

(n-1) = 16/3

n-1 = 5.33

n = 6.33

Step 3: Rounding off to the nearest integer

As n has to be a whole number, we round off 6.33 to the nearest integer, which is 6.

Step 4: Adding 1 to get the actual value of n

As the given equation is (n-1)p^2/3 = 4/3, we need to add 1 to the calculated value of n to get the actual value.

Therefore, n = 6+1 = 7.

Hence, option B (15) is incorrect and the correct answer is option B (7).
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Ifnp13:(n+1)p12 =3 :4 then 'n' is ______a)13b)15c)18d)31Correct answer is option 'B'. Can you explain this answer?
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