Exams
Subjects
Classes
Home
Exams
Mathematics
fundamental principle of counting
the number of 5 digit num...
Question:
medium
The number of 5-digit numbers (no digit is repeated) that can be formed by using the digits \(0,1,2,\ldots,7\) is
Show Hint
In digit formation problems, always treat the first digit separately when zero is involved.
KEAM - 2015
KEAM
Updated On:
May 8, 2026
\(1340\)
\(1860\)
\(2340\)
\(2160\)
\(3200\)
Show Solution
The Correct Option is
C
Solution and Explanation
Download Solution in PDF
Was this answer helpful?
0
Top Questions on fundamental principle of counting
Evaluate
\(\frac{n!}{\left(n-r\right)!}\)
, when
(i)
n = 6, r = 2
(ii)
n = 9, r = 5
CBSE Class XI
Mathematics
fundamental principle of counting
View Solution
If
\(\frac{1}{6!}+\frac{1}{7!}=\frac{x}{8!}\)
, find x.
CBSE Class XI
Mathematics
fundamental principle of counting
View Solution
The total number of 4-digit numbers whose greatest common divisor with 54 is 2 , is ____.
JEE Main - 2023
Mathematics
fundamental principle of counting
View Solution
The total number of 5-digit numbers, formed by using the digits 1, 2, 3, 5, 6, 7 without repetition, which are multiple of 6, is
JEE Main - 2022
Mathematics
fundamental principle of counting
View Solution
Want to practice more? Try solving extra ecology questions today
View All Questions
Questions Asked in KEAM exam
The dimension of mutual inductance is (Denote dimension of current as A)
KEAM - 2026
Electromagnetism
View Solution
A pure inductor of inductance \( 0.1 \, \text{H} \) is connected to an AC source (of rms voltage 220 V and angular frequency 300 Hz). The rms current is
KEAM - 2026
Magnetic Flux
View Solution
An object having a velocity of 5 m/s is accelerated at the rate 2 m/s\(^2\) for 6s. Find the distance travelled during the period of acceleration.
KEAM - 2026
Significant figures and Decimal Places
View Solution
A vehicle moving at 36 km/hr is to be stopped by applying brakes in the next 5 m. If the vehicle weighs 2000 kg, determine the average force that must be applied on it.
KEAM - 2026
Electron Emission
View Solution
Two masses connected in series with two massless strings are hanging from a support as shown in the figure. Find the tension in the upper string.
KEAM - 2026
Electric Potential and Electric Potential Energy
View Solution