Question:
The number of ways of selecting $15$ teams from $15$ men and $15$ women, such that each team consists of a man and a woman, is
The number of ways of selecting $15$ teams from $15$ men and $15$ women, such that each team consists of a man and a woman, is
Updated On: Jul 28, 2022
- $1960$
- $15!$
- $\left(15 !\right)^{2}$
- $14!$
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
First team can be selected in $\left( \, ^{15} C_{1} . ^{15} C_{1}\right)$ way second in $\left(^{14} C_{1}\right)\left(^{14} C_{1}\right)$ way's and so on
So number of ways of selections $15$ teams $=\frac{\left(15 !\right)^{2}}{15 !}=\left(15 !\right)$
Was this answer helpful?
0
0
Top Questions on permutations and combinations
- The number of different 5 digit numbers greater than 50000 that can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, such that the sum of their first and last digits should not be more than 8, is:
- JEE Main - 2025
- Mathematics
- permutations and combinations
- Group A consists of 7 boys and 3 girls, while group B consists of 6 boys and 5 girls. The number of ways, 4 boys and 4 girls can be invited for a picnic if 5 of them must be from group A and the remaining 3 from group B, is equal to:
- JEE Main - 2025
- Mathematics
- permutations and combinations
- The number of 6-letter words, with or without meaning, that can be formed using the letters of the word "MATHS" such that any letter that appears in the word must appear at least twice is:
- JEE Main - 2025
- Mathematics
- permutations and combinations
If all the words with or without meaning made using all the letters of the word "KANPUR" are arranged as in a dictionary, then the word at 440th position in this arrangement is:
- JEE Main - 2025
- Mathematics
- permutations and combinations
- Group A consists of 7 boys and 3 girls, while group B consists of 6 boys and 5 girls. The number of ways, 4 boys and 4 girls can be invited for a picnic if 5 of them must be from group A and the remaining 3 from group B, is equal to:
- JEE Main - 2025
- Mathematics
- permutations and combinations
View More Questions
Questions Asked in NTA Abhyas exam
- Which of the following can show positive deviation from Raoult's law?
- NTA Abhyas - 2020
- Solutions
- A particle of mass $m$ and charge $q$ is thrown from a point in space where uniform gravitational field & electric field are present. The particle (1) may follow a straight line (2) may follow a circular path (3) may follow a parabolic path
- NTA Abhyas - 2020
- electrostatic potential and capacitance
- When two bodies collide elastically. The force of interaction between them is
- NTA Abhyas - 2020
- Elastic and inelastic collisions
- The dimensional formula for entropy is
- NTA Abhyas - 2020
- Dimensional Analysis
- The dimensional formula for permittivity of free space $\left(\left(\epsilon \right)_{0}\right)$ in the equation $F=\frac{1}{4 \pi \epsilon _{0}}\frac{q_{1} q_{2}}{r^{2}}$ , where symbols have their usual meaning, is
- NTA Abhyas - 2020
- Dimensional Analysis
View More Questions
Concepts Used:
Permutations and Combinations
Permutation:
Permutation is the method or the act of arranging members of a set into an order or a sequence.
- In the process of rearranging the numbers, subsets of sets are created to determine all possible arrangement sequences of a single data point.
- A permutation is used in many events of daily life. It is used for a list of data where the data order matters.
Combination:
Combination is the method of forming subsets by selecting data from a larger set in a way that the selection order does not matter.
- Combination refers to the combination of about n things taken k at a time without any repetition.
- The combination is used for a group of data where the order of data does not matter.