Jee Advanced
Permutations And Combinations
JEE Advanced 2021 Paper 2 Online
MCQM+4 / -22021
Let
\({S_1} = \left\{ {(i,j,k):i,j,k \in \{ 1,2,....,10\} } \right\}\),
\({S_2} = \left\{ {(i,j):1 \le i < j + 2 \le 10,i,j \in \{ 1,2,...,10\} } \right\}\),
\({S_3} = \left\{ {(i,j,k,l):1 \le i < j < k < l,i,j,k,l \in \{ 1,2,...,10\} } \right\}\) and
\({S_4} = \{ (i,j,k,l):i,j,k\) and \(l\) are distinct elements in {1, 2, ...., 10}.
If the total number of elements in the set Sr is nr, r = 1, 2, 3, 4, then which of the following statements is(are) TRUE?
\({S_1} = \left\{ {(i,j,k):i,j,k \in \{ 1,2,....,10\} } \right\}\),
\({S_2} = \left\{ {(i,j):1 \le i < j + 2 \le 10,i,j \in \{ 1,2,...,10\} } \right\}\),
\({S_3} = \left\{ {(i,j,k,l):1 \le i < j < k < l,i,j,k,l \in \{ 1,2,...,10\} } \right\}\) and
\({S_4} = \{ (i,j,k,l):i,j,k\) and \(l\) are distinct elements in {1, 2, ...., 10}.
If the total number of elements in the set Sr is nr, r = 1, 2, 3, 4, then which of the following statements is(are) TRUE?