Let
\( S_1 = \{(i,j,k) : i,j,k \in \{1,2,\ldots,10\}\} \),
\( S_2 = \{(i,j) : 1 \le i < \; j+2 \le 10,\; i,j \in \{1,2,\ldots,10\}\} \),
\( S_3 = \{(i,j,k,l) : 1 \le i < j < k < l,\; i,j,k,l \in \{1,2,\ldots,10\}\} \) and
\( S_4 = \{(i,j,k,l) : i,j,k, \text{and} \, l \text{ are distinct elements in } \{1,2,\ldots,10\}\} .\)
If the total number of elements in the set \( S_r \) is \( n_r \),\( r = 1,2,3,4 \), then which of the following statements is (are) TRUE?
