Recent questions tagged fundamental-principle-of-counting

For $n\geq 4$, $1!+2!+3!+4!+.....n!$ is always

asked Sep 6, 2013 by rvidyagovindarajan_1

1 answer

$(100)!+1$ is divisible by?

asked Sep 5, 2013 by rvidyagovindarajan_1

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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?

asked Sep 5, 2013 by rvidyagovindarajan_1

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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 ?

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 ?

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 $1,2,3,...............n$?

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 $\overrightarrow r.\overrightarrow a=5$ ?

asked Sep 3, 2013 by rvidyagovindarajan_1

1 answer

In how many ways 9 identical marbles can be placed in 3 identical boxes?

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)

asked Aug 31, 2013 by rvidyagovindarajan_1

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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 ?

asked Aug 31, 2013 by rvidyagovindarajan_1

1 answer

In how many ways can 5 identical rings can be worn on 4 fingers?

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.

asked Aug 20, 2013 by rvidyagovindarajan_1

1 answer

The largest natural numer $n$ for which $(33)!$ is divisible by $2^n$ is ?

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?

asked Aug 15, 2013 by rvidyagovindarajan_1

1 answer

How many 10 digit numbers are there using the digits 1 and 2 ?

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

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 ?

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?

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?

asked Aug 13, 2013 by rvidyagovindarajan_1

1 answer

The number of positive integral solutions of the equation $xyz=30$ is ?

asked Aug 11, 2013 by rvidyagovindarajan_1

1 answer

The smallest positive natural number $n$ such that $n!$ is divisible by $990$ is ?

asked Aug 8, 2013 by rvidyagovindarajan_1

1 answer

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