JEE Advanced 2021 Mathematics question
Let
= \{(i, j, k) : i, j, k \{1, 2, , 10\}\},
= \{(i, j) : 1 i < j + 2 10,\ i, j \{1, 2, , 10\}\},
= \{(i, j, k, l) : 1 i < j < k < l,\ i, j, k, l \{1, 2, , 10\}\}
and
= \{(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 is , , then which of the following statements is (are) TRUE ?
Answer: (A),(B),(D)
Solution
(A) Each of has 10 choices: – TRUE. (B) , and , so for each there are values of : – TRUE. (C)
See the full step-by-step solution
Create a free account to read the complete working, and practise questions like this in a timed test.
Create a free account