MHT CET · Maths · Permutation Combination
If a question paper consists of 11 questions divided into two section I and II. Section I consist of 6 questions and section II consists of 5 question, then the number of different ways can student select 6 questions, taking at least 2 questions from each section, is
- A 350
- B 225
- C 275
- D 425
Answer & Solution
Correct Answer
(D) 425
Step-by-step Solution
Detailed explanation
| \(\text {Section-I}\) | \(\text {Section-II}\) | \(\text {No. of ways}\) |
| 2 | 4 | \(^6 C_2 \times{ }^5 C_4=15 \times 5=75\) |
| 3 | 3 | \(^6 C_3 \times{ }^5 C_3=20 \times 10=200\) |
| 4 | 2 | \(^6 C_4 \times{ }^5 C_2=15 \times 10=150\) |
| \(\text {Total}=425\) |
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 derivative of \(\tan ^{-1}\left(\sqrt{1+x^2}-1\right)\) isMHT CET 2025 Medium
- The area of the triangle \(\mathrm{ABC}\) is \(10 \sqrt{3} \mathrm{~cm}^{2}\), angle \(\mathrm{B}\) is \(60^{\circ}\) and its perimeter is \(20 \mathrm{~cm}\),
then \(\ell(\mathrm{AC})=\)MHT CET 2020 Medium - If \(\mathrm{I}=\int \frac{2 x-7}{\sqrt{3 x-2}} \mathrm{~d} x\), then \(\mathrm{I}\) is given byMHT CET 2023 Hard
- Find the function \(f\left(x_{1}, x_{2}, x_{3}\right)\) satisfying \(f\left(x_{1}, x_{2}, x_{3}\right)=1\) at \(x_{1}=1, x_{2}=x_{3}=0\)MHT CET 2009 Easy
- Let \(P(3,2,6)\) be a point in space and \(Q\) be a point on the line \(\bar{r}=\hat{i}-\hat{j}+2 \hat{k}+\mu(-3 \hat{i}+\hat{j}+5 \hat{k})\). Then the value of \(\mu\) for which the vector \(\overline{\mathrm{PQ}}\) is parallel to the plane \(x-4 y+3 z=1\) isMHT CET 2024 Hard
- If \(\frac{1}{6} \sin \theta, \cos \theta, \tan \theta\) are in G.P., then the general solution of \(\theta\) isMHT CET 2025 Medium
More PYQs from MHT CET
- Equation of the chord of the circle \(x^2+y^2-4 x-10 y+25=0\) having mid-point \((1,2)\) isMHT CET 2021 Medium
- What is IUPAC name of acrolein?MHT CET 2020 Medium
- Select CORRECT statement from the following.MHT CET 2017 Easy
- Which from following reactions exhibits good atom economy according to the principles of green chemistry?MHT CET 2024 Hard
- If \(\mathrm{m}\) is order and \(\mathrm{n}\) is degree of the differential equation \(\mathrm{y}=\frac{\mathrm{dp}}{\mathrm{dx}}+\sqrt{\mathrm{a}^2 \mathrm{p}^2-\mathrm{b}^2}\), where \(\mathrm{p}=\frac{\mathrm{dp}}{\mathrm{dx}}\), then the value of \(\mathrm{m}+\mathrm{n}\) isMHT CET 2021 Easy
- Which element from following rapidly loses its luster in air and tarnishes?MHT CET 2023 Easy