Question
How many chords can be drawn through 21 points on a circle? 4. How many triangles can be formed by joining the vertices of a
How many chords can be drawn through 21 points on a circle?
4. How many triangles can be formed by joining the vertices of a hexagon?
5. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels
can be formed?
6. If four dice are rolled, find the number of possible outcomes in which atleast one
die shows 2.
7. There are 18 guests at a dinner party. They have to sit 9 guests on either side of
a long table, three particular persons decide to sit on one particular side and two
others on the other side. In how many ways can the guests to be seated?
8. If a polygon has 44 diagonals, find the number of its sides.
9. In how many ways can a cricket team of 11 players be chosen out of a batch of 15
players?
(i) There is no restriction on the selection.
(ii) A particular player is always chosen.
(iii) A particular player is never chosen.
10. A Committee of 5 is to be formed out of 6 gents and 4 ladies. In how many ways this
can be done when
(i) atleast two ladies are included
(ii) atmost two
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