There are 10 bulbs in a room. Each one of them can be operated independently . Find the number of ways in which the room can be illuminated .

There are 10 bulbs in a room. Each one of them can be operated indipendently. Find the number of ways in which the room can be illuminated I is.

There are 5 bulbs in a room. Each one of them can be operated independently. Then the no. of ways in which the room is illuminated I is:

If there are 10 stations on a route and the train has to be stopped at 3 of them, then the number of ways in which the train can be stopped so that atleast two stopping stations are consecutive is

There are 3 copies each of 4 different books. The number of ways in which they can be arranged in a shelf is

There are 5 teachers and 20 students. Out of them a committee of 2 teachers and 3 students is to be formed. Find the number of ways in which this can be done. Further find in hdw many of these committees. Q a particular teacher is included?

There are 5 teachers and 20 students. Out of them a committee of 2 teachers and 3 students is to be formed. Find the number of ways in which this can be done. Further find in hdw many of these committees. Q a particular student is excluded?

There are four balls of different colors and four boxes of colors same as those of the balls. Find the number of ways in which the balls, one in each box, could be placed in such a way that a ball does not go to box of its own color.

Out of 8 sailors on a boat, 3 can work only on one particular side and 2 only on the other side. Find the number of ways in which the sailors can be arranged on the boat.