JEE Mains · Maths · STD 11 - 6. permutation and combination
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
- A \(1120\)
- B \(1880\)
- C \(1960\)
- D \(1240\)
Answer & Solution
Correct Answer
(D) \(1240\)
Step-by-step Solution
Detailed explanation
Number of ways of selecting a man and a woman for a team from \(15\) men \(15\) women \(=15\times 15=(15)^2\) Number of ways of selecting a man and a woman for next team out of the remaining \(14\) men \(14\) women. \(=14\times 14=(14)^2\) Similarly for other teams Hence…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- The value of \(lim_{x\rightarrow0}\frac{log_{e}(sec(ex) \cdot sec(e^{2}x)\cdot...\cdot sec(e^{10}x))}{e^{2}-e^{2cos~x}}\) is equal toJEE Mains 2026 Hard
- If \(z =2+3 i\), then \(z ^{5}+(\overline{ z })^{5}\) is equal to.JEE Mains 2022 Medium
- The sum of first four terms of a geometric progression \((G.P.)\) is \(\frac{65}{12}\) and the sum of their respective reciprocals is \(\frac{65}{18} .\) If the product of first three terms of the \(G.P.\) is \(1,\) and the third term is \(\alpha\), then \(2 \alpha\) is ....... .JEE Mains 2021 Hard
- Let \(\int_\alpha^{\log _e^4} \frac{\mathrm{dx}}{\sqrt{\mathrm{e}^{\mathrm{x}}-1}}=\frac{\pi}{6}\). Then \(\mathrm{e}^\alpha\) and \(\mathrm{e}^{-\alpha}\) are the roots of the equation :JEE Mains 2024 Hard
- If the coefficients of the three consecutive terms in the expansion of \((1+ x )^{ n }\) are in the ratio \(1: 5: 20\), then the coefficient of the fourth term is \(............\).JEE Mains 2023 Hard
- Let \(G\) be the geometric mean of two positive numbers \(a\) and \(b,\) and \(M\) be the arithmetic mean of \(\frac {1}{a}\) and \(\frac {1}{b}\). If \(\frac {1}{M}\,:\,G\) is \(4:5,\) then \(a:b\) can beJEE Mains 2014 Hard
More PYQs from JEE Mains
- If \(\int \sqrt{\sec 2 x-1} d x=\alpha \log _e\left|\cos 2 x+\beta+\sqrt{\cos 2 x\left(1+\cos \frac{1}{\beta} x\right)}\right|+\) constant, then \(\beta-\alpha\) is equal toJEE Mains 2023 Hard
- An urn contains \(6\) white and \(9\) black balls. Two successive draws of \(4\) balls are made without replacement. The probability, that the first draw gives all white balls and the second draw gives all black balls, is :JEE Mains 2024 Medium
- Let \(P : y ^{2}=4 a x , a>0\) be a parabola with focus \(S\).Let the tangents to the parabola \(P\) make an angle of \(\frac{\pi}{4}\) with the line \(y=3 x+5\) touch the parabola \(P\) at \(A\) and \(B\). Then the value of \(a\) for which \(A , B\) and \(S\) are collinear isJEE Mains 2022 Easy
- If \(y=y(x)\) is the solution of the differential equation \(\frac{5+ e ^{ x }}{2+ y } \cdot \frac{ dy }{ dx }+ e ^{ x }=0\) satisfying \(y (0)=1,\) then a value of \(y \left(\log _{ e } 13\right)\) isJEE Mains 2020 Hard
- If \(\operatorname{Lim}_{x \rightarrow 0}\left(\frac{\tan x}{x}\right)^{\frac{1}{x^2}}=p\), then \(96 \log _e p\) is equal to ______JEE Mains 2025 Medium
- The sum of all values of \(\theta \in[0,2 \pi]\) satisfying \(2 \sin ^2 \theta=\cos 2 \theta\) and \(2 \cos ^2 \theta=3 \sin \theta\) isJEE Mains 2025 Easy