Question 1

Let $$S_{1} = \left\{\left(i, j, k\right) : i, j, k \epsilon \left\{1, 2, ... , 10\right\}\right\}$$,
$$S_{2} = \left\{\left(i, j\right) : 1 \leq i < j + 2 \leq 10, i, j \epsilon \left\{1, 2, ..., 10\right\}\right\}$$,
$$S_{3} = \left\{\left(i,j, k, l\right) : 1 \leq i < j < k < l, i,j, k, l \epsilon \left\{1, 2, ..., 10\right\}\right\}$$
and
$$S_{4} = $${ $$\left(i, j, k, l \right) : i, j, k$$ and l are distinct elements in $$\left\{1, 2, ..., 10 \right\}$$}.
If the total number of elements in the set $$S_{r}$$ is $$n_{r},= 1, 2, 3, 4$$, then which of the following statements is (are) TRUE?


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