PERMUTATIONS AND COMBINATIONS

In an examination, a student has to answer 4 questions out of 5 questions; questions 1 and 2 are however compulsory. The number of ways in which the student can make the choice are

• 3

• 3!

• 1

• 4!

Out of 5 men and 2 women, a committee of 3 is to be formed. In how many ways can it be formed if at least one woman is to be included?

Number of triangles formed by 10 points, taking 3 at a time

The number of possible outcomes when a coin is tossed 6 times is

• 36

• 64

• 12

• 32

Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to

• 60

• 120

• 7200

• 720

The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines is

• 6

• 18

• 12

• 9

Everybody in a room shakes hands with everybody else. The total number of hand shakes is 66. The total number of persons in the room is

• 11

• 12

• 13

• 14

Tags

CCSS.8.EE.C.7B