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Recent questions tagged fundamental-principle-of-counting
Questions
For $n\geq 4$, $1!+2!+3!+4!+.....n!$ is always
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
easy
asked
Sep 6, 2013
by
rvidyagovindarajan_1
1
answer
$(100)!+1$ is divisible by?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
easy
asked
Sep 5, 2013
by
rvidyagovindarajan_1
1
answer
20 identical marbles of green colour and 20 identical marbles of white colour can be arranged in a row in how many ways so that no two same colour marbles are adjacent?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
easy
asked
Sep 5, 2013
by
rvidyagovindarajan_1
1
answer
There are $10$ white and $10$ black balls each set numbered 1,2,3......10. The no. of ways in which they can be arranged so that no two adjacent balls are of same colour is ?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
medium
asked
Sep 5, 2013
by
rvidyagovindarajan_1
1
answer
The no. of ways in which 20 different pearls of two colours can be set alternatively on a necklace, there being 10 pearls of each colour, is ?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
easy
asked
Sep 5, 2013
by
rvidyagovindarajan_1
1
answer
If $n$ is odd, then in how many ways $3$ numbers that are in A.P. can be selected from the numbers $1,2,3,...............n$?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
difficult
asked
Sep 3, 2013
by
rvidyagovindarajan_1
1
answer
The position vector of a point $P$ is given by $\overrightarrow r=x\hat i+y\hat j+z\hat k$, where $x,y,z\in N$. Position vector of point A is given by $\overrightarrow a=\hat i+\hat j+\hat k$. How many points P are possible so that $\overrightarrow r.\overrightarrow a=5$ ?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
difficult
asked
Sep 3, 2013
by
rvidyagovindarajan_1
1
answer
In how many ways 9 identical marbles can be placed in 3 identical boxes?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
medium
asked
Sep 3, 2013
by
rvidyagovindarajan_1
1
answer
How many 6 digit numbers can be formed using the digits 0,1,3,5,7,9 that are divisible by 5? (digits should not be repeated)
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
easy
asked
Aug 31, 2013
by
rvidyagovindarajan_1
1
answer
There are 4 balls of different colour and 4 boxes of colours, same as that of balls. The no. of ways in which the balls, one each in a box,could be placed such that a ball does not go to a box of its own colour is ?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
medium
asked
Aug 31, 2013
by
rvidyagovindarajan_1
1
answer
In how many ways can 5 identical rings can be worn on 4 fingers?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
easy
asked
Aug 31, 2013
by
rvidyagovindarajan_1
1
answer
How many numbers are there between 20000 and 30000 in which the digits are 2,3,5,6,7 and each digit can be repeated any number of times.
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
easy
asked
Aug 20, 2013
by
rvidyagovindarajan_1
1
answer
The largest natural numer $n$ for which $(33)!$ is divisible by $2^n$ is ?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
difficult
asked
Aug 20, 2013
by
rvidyagovindarajan_1
1
answer
Five digit numbers are formed using the digits 0,1,2,3,4. Out of these numbers in how many numbers at least one number is repeated?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
medium
asked
Aug 15, 2013
by
rvidyagovindarajan_1
1
answer
How many 10 digit numbers are there using the digits 1 and 2 ?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
easy
asked
Aug 15, 2013
by
rvidyagovindarajan_1
1
answer
The no. of points $(x,y,z)$ in space whose coordinates are negative integers and $x+y+z+12=0$ is
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
difficult
asked
Aug 15, 2013
by
rvidyagovindarajan_1
1
answer
Four dice are rolled. The no. of possible outcomes in which at least one dice shows 2 is ?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
easy
asked
Aug 14, 2013
by
rvidyagovindarajan_1
1
answer
In an examination a candidate has to pass in each of the four subjects. In how many ways he can fail?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
medium
asked
Aug 13, 2013
by
rvidyagovindarajan_1
1
answer
There are $10$ lamps in a hall. Each of them can be switched on independently. The no. of ways in which the hall can be illuminated is?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
medium
asked
Aug 13, 2013
by
rvidyagovindarajan_1
1
answer
The number of positive integral solutions of the equation $xyz=30$ is ?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
easy
asked
Aug 11, 2013
by
rvidyagovindarajan_1
1
answer
The smallest positive natural number $n$ such that $n!$ is divisible by $990$ is ?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
easy
asked
Aug 8, 2013
by
rvidyagovindarajan_1
1
answer
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