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1.
A polygon has 20 diagonals. How many sides does it have?
2.
A box contains 5 red and 4 blue balls. In how many ways can 4 balls be chosen such that there are at most 3 balls of each color?
3.
6 students of nursery class are playing a game. They are standing in a circle and have to pass a ball among themselves. How many such passes are possible?
4.
There are 5 boys standing in a row and 5 girls are to be paired with them for a group dance competition in a school. In how many ways can the girls be made to
stand?
5.
In the editorial groups photograph of a school all the 5 teachers are to be seated in the front row. Four girls are to be in the second row and six boys in the third row.
If the principal has a fixed seat in the first row, then how many arrangements are possible?
6.
In how many ways can 8 people be sealed at a round table?
7.
Sunita wants to make a necklace. She has 8 beads. How many different choices does she have?
8.
From city A to B there are 3 different roads. From B to C re are 5. From C to D there are 2. Laxman has to go from city A to D attending some work in city B and C
on the way and has to come back in the reverse order. In how many ways can he complete his journey if he has to take a different while coming back than he did
while going?
9.
Neetu has five identical beads each of nine different colors. She wants to make a necklace such that the beads of the same color always come together. How many
different arrangements can she have?
10.
On a chess board one white square is chosen at random. In how many ways can a black square be chosen such that it does not lie in the same row as the white
square?