AP EAMCET · Maths · Permutation Combination
The number of natural numbers less than 10000 which are divisible by 5 and that no digit is repeated in the same number, is
- A 802
- B 602
- C 702
- D 1106
Answer & Solution
Correct Answer
(D) 1106
Step-by-step Solution
Detailed explanation
Natural numbers less than 10000 which are devisible by 5 , will be the numbers upto 4 digits which ends with zero or 5. Number of all natural numbers upto 4 digits which ends with zero when no digits are repeated \[ =(9)(8)(7)(1)+(9)(8)(1)+(9)(1)=585 \] (Note that zero will not…
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
- If the projections of the line segment on and planes are respectively, then the projection of on axis isAP EAMCET 2021 Easy
- If \(\alpha, \beta\) are the acute angles such that \(\frac{\sin \alpha}{\sin \beta}=\frac{6}{5}\) and \(\frac{\cos \alpha}{\cos \beta}=\frac{9}{5 \sqrt{5}}\) then \(\sin \alpha=\)AP EAMCET 2025 Medium
- If \(\alpha\) satisfies the equation
\(\sqrt{\frac{x}{2 x+1}}+\sqrt{\frac{2 x+1}{x}}=2\), then the roots of the equation \(\alpha^2 x^2+4 \alpha x+3=0\) areAP EAMCET 2019 Easy - Let \(f(x)\) be a real valued function. If \(f^{\prime}(x)\) is a constant for all \(x \in \mathbb{R}, f(0)=2\) and \(f^{\prime}(0)=1\), thenAP EAMCET 2023 Medium
- \(\cos \left[\cos ^{-1}\left(-\frac{1}{7}\right)+\sin ^{-1}\left(-\frac{1}{7}\right)\right]\) is equal toAP EAMCET 2003 Medium
- \(\sum_{k=1}^n k(k+1)(k+2) \ldots(k+r-1)=\)AP EAMCET 2025 Medium
More PYQs from AP EAMCET
- Let \(f(x)\) be a polynomial and \(a, b\) be distinct real numbers. Then the remainder in the division of \(f(x)\) by \((x-a)(x-b)\) isAP EAMCET 2020 Hard
- If \(g(x)\) is the inverse of the function \(f(x)\) and \(f^{\prime}(x)=\frac{1}{h(x)}\), then \(g^{\prime}(x)=\)AP EAMCET 2023 Easy
- If the lines \(x^2+2 x y-35 y^2-4 x+44 y\) \(-12=0\) and \(5 x+\lambda y-8=0\) are concurrent, then \(\lambda\) equalsAP EAMCET 2021 Easy
- The real part of the complex number \(z=\frac{5+2 i}{2-5 i}-\frac{3-4 i}{4+3 i}-\frac{1}{i}\), isAP EAMCET 2017 Easy
- If thenAP EAMCET 2021 Medium
- If a square \(A B C D\), where \(A(0,0), B(2,0), C(2,2)\) and \(D(0,2)\) undergoes the following transformations successively, then the final figure would be a
(i) \(f_1(x, y) \longrightarrow(y, x)\)
(ii) \(f_2(x, y) \longrightarrow(x+3 y, y)\)
(iii) \(f_3(x, y) \longrightarrow\left(\frac{x-y}{2}, \frac{x+y}{2}\right)\)AP EAMCET 2021 Medium