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Let s1 = {(i,j, k) ∶ i,j, k ∈ {1,2, … ,1...

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) ∶ 1 ≤ 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 ?

A

`n_1` = 1000

B

`n_2` = 44

C

`n_3` = 220

D

`n_4/12` = 420

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