AP EAMCET · Maths · Permutation Combination
For which value of has trailing zeros?
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
We know in n! exponent of 5 is always less than or equal to exponent of 2 Hence, exponent of 5 is equal to the number of trailing zeroes We know, exponent of 5 in n! is given as ⇒13=n5+n52+n53+... Using n=57 from the options, we get =575+5725+57125 =11+2+0 ... So, in…
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 \(\omega\) is a complex cube root of unity, then \(\omega^{\left(\frac{1}{3}+\frac{2}{9}+\frac{4}{27}+\ldots \infty\right)}+\omega^{\left(\frac{1}{2}+\frac{3}{8}+\frac{9}{32}+\ldots \infty\right)}\) is equal toAP EAMCET 2015 Medium
- Find the value of \(k\), if the angle between the straight lines represented by \(2 x^2+5 x y+3 y^2+6 x+7 y+4=0\) is \(\tan ^{-1}(k)\).AP EAMCET 2020 Easy
- If \(\mathrm{Z}=x+i y\) is a complex number, then the number of distinct solution of the equation \(z^3+\bar{z}=0\) isAP EAMCET 2024 Easy
- If are roots of , thenAP EAMCET 2022 Medium
- If \(f(x)\left\{\begin{array}{cl}\frac{\sqrt{1+k x}-\sqrt{1-k x}}{x}, & \text { for }-1 \leq x < 0 \\ 2 x^2+3 x-2, & \text { for } 0 \leq x \leq 1\end{array}\right.\) is continuous at \(x=0\), then \(k\) is equal toAP EAMCET 2003 Hard
- The equation \(x^2-5 x y+p y^2+3 x-8 y+2=0\) represents a pair of straight lines. If \(\theta\) is the angle between them, then \(\sin \theta\) is equal toAP EAMCET 2013 Easy
More PYQs from AP EAMCET
- If the pair of straight lines represents two parallel lines thenAP EAMCET 2022 Medium
- If g is the inverse of the function \(\mathrm{f}(\mathrm{x})\) and \(\mathrm{g}(\mathrm{x})=\mathrm{x}+\tan \mathrm{x}\) then, \(\mathrm{f}^{\prime}(\mathrm{x})=\)AP EAMCET 2025 Medium
- When a wire is connected in the left gap of a metre bridge, the balancing point is at 40 cm from the left end of the bridge wire. If the wire in the left gap is stretched so that its length is doubled and again connected in the same gap, then the balancing point from the left end of the bridge wire isAP EAMCET 2025 Medium
- A team of 5 students is to be selected from 12 students. If two particular students are to be included in that team, then the number of ways that such team can be selected isAP EAMCET 2023 Medium
- If \(f(x)=k x^3-9 x^2+9 x+3(k>0)\) is increasing for all \(x\), thenAP EAMCET 2021 Easy
- If \(\overrightarrow{A B}=2 \hat{i}+3 \hat{j}-6 \hat{k} ; \overrightarrow{B C}=6 \hat{i}-2 \hat{j}+3 \hat{k}\) are the vectors along two sides of a triangle ABC , then perimeter of triangle ABC is:AP EAMCET 2024 Easy