AP EAMCET · Maths · Permutation Combination
The letters of the word 'QUESTION' are arranged in a row at random. The probability that there are exactly two letters between \(\mathrm{Q}\) and \(\mathrm{S}\) is
- A \(\frac{1}{14}\)
- B \(\frac{5}{7}\)
- C \(\frac{1}{7}\)
- D \(\frac{5}{28}\)
Answer & Solution
Correct Answer
(D) \(\frac{5}{28}\)
Step-by-step Solution
Detailed explanation
The given word is 'QUESTION', let E be the event that there are exactly two letters between \(Q\) and \(S\). Here, number of sample space, \(n(S)=8 \text { ! }\) number of possible events, \(n(E)={ }^6 P_2 \times 2 ! \times 5 \text { ! }\) \(\therefore \quad\) Required…
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 length of the chord intercepted by the circle \(x^2+y^2-4 x+6 y-12=0\) on the line \(4 x+3 y+1=0\) isAP EAMCET 2017 Easy
- The vector equation of the plane passing through the points and isAP EAMCET 2019 Easy
- If set A contains 8 elements then number of subsets of \(A\) which contain at least 6 elements isAP EAMCET 2024 Easy
- AP EAMCET 2020 Medium
- In \(\triangle P Q R\), find \(\Sigma(q+r) \cos P\), if \(p, q, r\) denote its sides and \(s=\frac{(p+q+r)}{2}\)AP EAMCET 2020 Medium
- A question paper contains 4 questions each having 4 alternative answers. The number of ways that a candidate can answer one or more questions isAP EAMCET 2017 Medium
More PYQs from AP EAMCET
- Heat energy absorbed by a system going through the cyclic process shown in the figure is
AP EAMCET 2024 Easy - If the internal energy of 3 moles of a gas at a temperature of \(27^{\circ} \mathrm{C}\) is 2250 R, then the number of degrees of freedom of the gas is
(R - Universal gas constant)AP EAMCET 2025 Medium - \(\frac{d}{d x}\left(\cos ^{-1}\left(\frac{4 x^3}{27}-x\right)\right)=\)AP EAMCET 2020 Easy
- If \(f(x)=\left\{\begin{array}{cc}a x^2+b x-\frac{13}{8}, & x \leq 1 \\ 3 x-3, & 1 \lt x \leq 2 \\ b x^3+1, & x\gt2\end{array}\right.\) is differentiable \(\forall x \in R\), then \(a-b=\)AP EAMCET 2024 Easy
- If the line \(2 x+5 y=12\) intersects the ellipse \(4 x^2+5 y^2=20\) in two distinct points \(A\) and \(B\), then mid-point of \(A B\) isAP EAMCET 2012 Easy
- A body of mass ' m ' moving along a straight line collides with a stationary body of mass ' 2 m '. After collision if the two bodies move together with the same velocity, then the fraction of kinetic energy lost in the process isAP EAMCET 2025 Medium