Home
Class 12
MATHS
m(m-1)(m-2)...3.2.1=...

`m(m-1)(m-2)...3.2.1=`

A

`m!`

B

`(m+1)!`

C

`(m-1)!`

D

none of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • PERMUTATION AND COMBINATION

    CHHAYA PUBLICATION|Exercise EXERCISE 7A ( Very Short Answer Type Questions )|25 Videos
  • PERMUTATION AND COMBINATION

    CHHAYA PUBLICATION|Exercise EXERCISE 7 A ( Short Answer Type Questions )|36 Videos
  • PERMUTATION AND COMBINATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams E Assertion -Reason Type|2 Videos
  • PARABOLA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams ( E Assertion -Reason Type )|2 Videos
  • PLANE

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination( E Assertion - Reason Type )|2 Videos

Similar Questions

Explore conceptually related problems

If m be a whole number, then determine the degree of the polynomial (x^(m)+x^(m-1)+x^(m-2)+.......+x+1) . Also find the co-efficient of x^(m-3) of the polynomial.

If d/(dx)[(x^m-A_1x^(m-1)+A_2x^(m-2)-.......+(-1)^m A_m)e^x]=x^m e^x , find the value of A_r

If m >1,n in N show that 1^m+2^m+2^(2m)+2^(3m)+...+2^(n m-m)> n^(1-m)(2^n-1)^m

Prove that sum_(r=1)^(m-1)(2r^2-r(m-2)+1)/((m-r)^m C_r)=m-1/mdot

Evaluate: lim_(nrarroo) [(1)/(n+m)+(1)/(n+2m)+(1)/(n+3m)+...+(1)/(n+nm)]

Using formula, let's solve each of the following problems- If (m-2)-frac(1)(m-2) = 6 , then, find the value of (m-2)^2 + frac(1)((m-2)^2)

Evaluate: lim_(nrarroo)(1^(m)+2^(m)+3^(m)+...+n^(m))/(n^(m+1))(mgt-1)

Prove that ^mC_1^n C_m-^m C_2^(2n)C_m+^m C_3^(3n)C_m-.....=(-1)^(m-1)n^mdot

IfI_(m , n)=int_0^(pi/2)sin^m xcos^n xdx , Then show that I_(m , n)=(m-1)/(m+n)I_(m-2,n)(m ,n in N) Hence, prove that I_(m , n)=f(x)={((n-1)(n-3)(m-5)(n-1)(n-3)(n-5))/((m+n)(m+n-2)(m+n-4))pi/4 when both m and n are even ((m-1)(m-3)(m-5)(n-1)(n-3)(n-5))/((m+n)(m+n-2)(m+n-4))}

Find the condition for which the formula (a+b)^m = a^m+m a^(m-1)b+(m(m-1))/(1xx2)a^(m-2)b^2+ . . . . holds.