Home
Class 11
MATHS
If .^(n)P(4): .^(n)P(5) = 1:2, find the ...

If `.^(n)P_(4): .^(n)P_(5) = 1:2`, find the value of n.

Text Solution

AI Generated Solution

To solve the problem where \(\frac{nP_4}{nP_5} = \frac{1}{2}\), we will follow these steps: ### Step 1: Write the formula for permutations The formula for permutations is given by: \[ nP_r = \frac{n!}{(n-r)!} \] Using this, we can express \(nP_4\) and \(nP_5\). ...
Promotional Banner

Topper's Solved these Questions

  • PERMUTATION AND COMBINATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise A|9 Videos

  • PERMUTATION AND COMBINATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise B|11 Videos

  • MATHEMATICAL REASONING

    NAGEEN PRAKASHAN ENGLISH|Exercise Misellaneous exercise|7 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 4.1|1 Videos

Similar Questions

Explore conceptually related problems

If .^(n)P_(5)=20 .^(n)P_(3) , find the value of n.

find the value of P(n,n-1)

If .^(m+n)P_(2)=90 and .^(m-n)P_(2)=30 , find the value of m and .

If .^(n+2)C_(8) : ^(n-2)P_(4)=57:16 , then the value of (n)/(2) is

If .^(n)P_(3)+.^(n)C_(n-2)=14n , the value of n is (a) 5 (b) 6 (c) 8 (d) 10

If "^(2n+1)P_(n-1):^(2n-1)P_n=3:5, then find the value of n .

If \ ^n P_4=360 ,\ find the value of ndot

If .^(n-1)P_3 :^(n+1)P_3 = 5 : 12, find n .

If .^(n)C_(4),.^(n)C_(5), .^(n)C_(6) are in A.P., then find the value of n.

If "^nP_4: ^(n+1)P_4=3:4 , find n.