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if-p-r-n-49-c-r-n-196-find-the-valve-of-r-and-n-pleas-sir-help-me-




Question Number 73983 by mhmd last updated on 17/Nov/19
if p_r ^n =49 , c_r ^n =196 find the valve of r and n?  pleas sir help me
ifprn=49,crn=196findthevalveofrandn?pleassirhelpme
Answered by $@ty@m123 last updated on 17/Nov/19
4×^n P_r  =^n C_r   ⇒((4.n!)/((n−r)!))=((n!)/(r!(n−r)!))  ⇒ r!=(1/4)  Not possible.
4×nPr=nCr4.n!(nr)!=n!r!(nr)!r!=14Notpossible.
Commented by JDamian last updated on 17/Nov/19
^n P_r  <^n C_r ?  Why  4×?
nPr<nCr?Why4×?
Commented by $@ty@m123 last updated on 17/Nov/19
∵ 4×49=196
4×49=196
Answered by arkanmath7@gmail.com last updated on 17/Nov/19
r! = (1/4)  search in gamma function  r! = Γ(r+1) = rΓ(r) = r∫_0 ^∞ e^(−x)  x^(r−1) dx
r!=14searchingammafunctionr!=Γ(r+1)=rΓ(r)=r0exxr1dx

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