New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Permutations and Combinations question

2024 · Shift 1 · Q28

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Advanced
Mathematics
Permutations and Combinations
2024 · Shift 1 · Q28

Permutations and Combinations question

2024 · Shift 1 · Q28

JEE AdvancedMathematicsPermutations and CombinationsNumerical+4 / −1

A group of 9 students,

s_1, s_2, \ldots, s_9

, is to be divided to form three teams

X, Y

, and

Z

of sizes 2,3 , and 4 , respectively. Suppose that

s_1

cannot be selected for the team

X

, and

s_2

cannot be selected for the team

Y

. Then the number of ways to form such teams, is

\underline{\hspace{2cm}}

.

Numerical answer

More from Permutations and Combinations

Let $S = {1, 2, 3, 4, 5, 6}$ and $X$ be the set of all relations $R$ from $S$ to $S$ that satisfy both the following properties: i. $R$ has exactly 6 elements. ii. For each $(a, b) \in R$ , we have $∣ a - b ∣ \geq 2$ . Let $Y = {R \in X$ : The range of…2024 · Numerical
Let $S = {1, 2, 3, 4, 5, 6}$ and $X$ be the set of all relations $R$ from $S$ to $S$ that satisfy both the following properties: i. $R$ has exactly 6 elements. ii. For each $(a, b) \in R$ , we have $∣ a - b ∣ \geq 2$ . Let $Y = {R \in X$ : The range of…2024 · Numerical
The number of 4-digit integers in the closed interval [2022, 4482] formed by using the digits $0, 2, 3, 4, 6, 7$ is .2022 · Numerical
Consider 4 boxes, where each box contains 3 red balls and 2 blue balls. Assume that all 20 balls are distinct. In how many different ways can 10 balls be chosen from these 4 boxes so that from each box at least one red ball and one blue…2022 · MCQ
Let $S_{1} = {(i, j, k) : i, j, k \in {1, 2, ...., 10}}$ , $S_{2} = {(i, j) : 1 \leq i < j + 2 \leq 10, i, j \in {1, 2, ..., 10}}$ , $S_{3} = {(i, j, k, l) : 1 \leq i < j < k < l, i, j, k, l \in {1, 2, ..., 10}}$ …2021 · Multiple correct
An engineer is required to visit a factory for exactly four days during the first 15 days of every month and it is mandatory that no two visits take place on consecutive days. Then the number of all possible ways in which such visits to…2020 · Numerical
In a hotel, four rooms are available. Six persons are to be accommodated in these four rooms in such a way that each of these rooms contains at least one person and at most two persons. Then the number of all possible ways in which this…2020 · Numerical
Let |X| denote the number of elements in a set X. Let S = {1, 2, 3, 4, 5, 6} be a sample space, where each element is equally likely to occur. If A and B are independent events associated with S, then the number of ordered pairs (A, B)…2019 · Numerical