Consider the following statements: 1. If ordered samples of size r are drawn from a population of n elements, then there are n(n-1)(n-2)dots(n-r+1) samples without replacement. 2. If n distinguishable balls are to be randomly placed in n cells, then the probability that each cell will be occupied is 1. Which of the above statements is/are correct?

Q21Section I (Objective (Q1–Q80))21 of 80

Probability — ordered sampling and complete occupancy probability

Consider the following statements:

If ordered samples of size $r$ are drawn from a population of $n$ elements, then there are $n(n-1)(n-2)\dots(n-r+1)$ samples without replacement.
If $n$ distinguishable balls are to be randomly placed in $n$ cells, then the probability that each cell will be occupied is 1.

Which of the above statements is/are correct?

Pick an option to check your answer. In a mock test a wrong answer here costs 0.83 mark.

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