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Let S 1 = {(i, j, k) : i, j, k ∈ {1, 2, ...., 10}}; S 2 = {(i, j) : 1 ≤ i < j + 2 ≤ 10, i, j ∈ {1, 2, ..., 10}}, S 3 = {(i, j, k, l ) : l ≤ i < j < k < l , i, j, k, l ∈ {1, 2, ...., 10}} 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 S r is n r , r = 1, 2, 3, 4, then which of the following statements is (are) TRUE ?

1. n 1 = 1000
2. n 2 = 44
3. n 3 = 220
4. 12 n 4 = 420 CAREER POINT Date : 03 / 10 / 2021 CAREER POINT Kota H.O. : Career Point Ltd., CP Tower, IPIA, Road No.1, Kota (Raj.), Ph: 0744-66305000 www.careerpoint.ac.in 2 Paper-2

Correct answer: n 1 = 1000

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