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TS EAMCET · Maths · Permutation Combination

If \(m_{\mathrm{P}_r}-(m-1)_{\mathrm{P}_r}=a \cdot(m-1)_{\mathrm{P}_s}\), then \(a-s=\)

  1. A 1
  2. B 0
  3. C \(m-1\)
  4. D \(m-\mathrm{r}\)
Verified Solution

Answer & Solution

Correct Answer

(A) 1

Step-by-step Solution

Detailed explanation

\begin{aligned} & \text { } \mathrm{m}_{\mathrm{p}_{\mathrm{r}}}-\mathrm{m}-1_{\mathrm{p}_{\mathrm{r}}}=\mathrm{a}(\mathrm{m}-1)_{\mathrm{p}_{\mathrm{s}}} \\ & \frac{\mathrm{m} !}{(\mathrm{m}-\mathrm{r}) !}-\frac{(\mathrm{m}-1) !}{(\mathrm{m}-\mathrm{r}-1) !}=\mathrm{a}…