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

Question Number 73982 by mhmd last updated on 17/Nov/19

i f p_{r}^{n} = 49, c_{r}^{n} = 196 f i n d t h e v a l v e o f r a n d n ?

p l e a s s i r h e l p m e

Commented by som(math1967) last updated on 17/Nov/19

{\overset{n}{c}}_{r} > {\overset{n}{p}}_{r} ? ? ? h o w ?

Commented by Raxreedoroid last updated on 17/Nov/19

p_{r}^{n} = r! \cdot c_{r}^{n}

49 = r! \cdot 196

r! = \frac{49}{196}

r! = \frac{1}{4}

solve for when Γ (r + 1) = \frac{1}{4} ?

Γ (x) = c range when x \in R is almost ∣ c ∣> 0.88 \dots (\frac{\sqrt{π}}{2})

∣ 0.25 ∣< 0.8

so there is no solution