Maths · Meaning of P(n,r) and C(n,r)
If then is This question has multiple correct options
If \( r>1, \) then \( \frac{n P_{r}}{n C_{r}} \) is This question has multiple correct options
- A. is an integer
- B. may be fraction
- C. is an odd number
- D. an even number
Step-by-step solution
The expression nPr / nCr simplifies to r! (r factorial). Since r > 1, r! is a product of integers, hence an integer. Additionally, r! includes a factor 2, making it even, but the most immediate property is that it is an integer.