Mathematics · 2024
JEE Main · 6 April 2024, Shift 1 · Q3
The number of triangles whose vertices are at the vertices of a regular octagon but none of whose sides is a side of the octagon is
The number of triangles whose vertices are at the vertices of a regular octagon but none of whose sides is a side of the octagon is
Official answer
From NTA’s final answer key for this paper.
(1)
$\displaystyle 16$
More from Permutations and Combinations
- The number of natural numbers, between 212 and 999, such that the sum of their digits is 15, is ____.2025
- The number of ways in which 21 identical apples can be distributed among three children such that each child gets at least 2 apples, is2024
- Let the set S={2,4,8,16, …, 512} be partitioned into 3 sets A, B, C with equal number of elements such that A ∪ B ∪ C=S and A ∩ B=B ∩ C=A ∩ C=φ. The…2024
- The number of strictly increasing functions f from the set \{1, 2, 3, 4, 5, 6\} to the set \{1, 2, 3,...., 9\} such that f(i) ≠ i for 1 ≤ i ≤ 6, is…2026
- Let S be the set of the first 11 natural numbers. Then the number of elements in A={B ⊆ S: n(B) ≥ 2 and the product of all elements of B is even } is…2026
- If all the words with or without meaning made using all the letters of the word "NAGPUR" are arranged as in a dictionary, then the word at 315^th…2024
- Let A={(a, b, c): a, b, c are non-negative integers and a+b+2 c=22}. Then n( A) is equal to:2026
- If for some m, n;^6 C_m+2(^6 C_m+1)+^6 C_m+2>^8 C_3 and ^n-1 P_3:^n P_4=1: 8, then ^n P_m+1+^n+1 C_m is equal to2024
JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.