Let S 1 = ( i, j, k ) : i , j , k ∈ 1, 2, ...., 10 , S 2 = ( i, j ) : 1 ≤ i j + 2 ≤ 10, i…
Mathematics · JEE Advanced · NTA Exams — Permutations and Combinations
Let S1 = {(i, j, k) : i, j, k ∈{1, 2, ...., 10}},
S2 = {(i, j) : 1≤ i < j + 2 ≤ 10, i, j ∈ {1, 2, ...., 10}},
S3 = {(i, j, k, l) : 1≤ i < j < k < l, i, j, k, l ∈ {1, 2, ...., 10}}
and S4 = {(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 ?
S2 = {(i, j) : 1
S3 = {(i, j, k, l) : 1
and S4 = {(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 ?
- n1 = 1000
- n2 = 44
- n3 = 220
Answer
(D)
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