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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?
  • a)
    n1 = 1,000
  • b)
    n2 = 44
  • c)
    n3 = 220
  • d)
    n4/12 = 420
Correct answer is option 'A,B,D'. Can you explain this answer?
Most Upvoted Answer
Let S1 = {(i, j, k) : i, j, k ∈ {1, 2, ..., 10}},S2 = {(i, j) : 1...
This is an incomplete question as there is no condition given for S1. Please provide additional information to answer the question.
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Community Answer
Let S1 = {(i, j, k) : i, j, k ∈ {1, 2, ..., 10}},S2 = {(i, j) : 1...
Number of elements in S1, n1 = 10 × 10 × 10 = 103
Number of elements in S2, n2 = 8C2 + 2 8C1 = 44
Number of elements in S3, n3 = 10C4 = 210
Number of elements in S4, n4 = 10P4 = 5,040
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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}} andS4 = {(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?a)n1 = 1,000b)n2 = 44c)n3 = 220d)n4/12 = 420Correct answer is option 'A,B,D'. Can you explain this answer?
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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}} andS4 = {(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?a)n1 = 1,000b)n2 = 44c)n3 = 220d)n4/12 = 420Correct answer is option 'A,B,D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about 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}} andS4 = {(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?a)n1 = 1,000b)n2 = 44c)n3 = 220d)n4/12 = 420Correct answer is option 'A,B,D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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}} andS4 = {(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?a)n1 = 1,000b)n2 = 44c)n3 = 220d)n4/12 = 420Correct answer is option 'A,B,D'. Can you explain this answer?.
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