Mathematics · 2024
JEE Main · 8 April 2024, Shift 2 · Q5
The number of ways five alphabets can be chosen from the alphabets of the word MATHEMATICS, where the chosen alphabets are not necessarily distinct,…
The number of ways five alphabets can be chosen from the alphabets of the word MATHEMATICS, where the chosen alphabets are not necessarily distinct, is equal to:
Official answer
From NTA’s final answer key for this paper.
(3)
$\displaystyle 179$
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.