Permutation and combination

The number of straight lines and triangles that can be formed from 12 points in a plane out of which 5 are collinear is

• 57, 210

• 57,211

• 56, 210

• 56, 211

The number of parallelograms that can be formed from a set of 5 parallel lines intersecting another set of 6 parallel lines

• 30
• 72
• 90
• 150

• 12
• 8
• 20
• 16

The number of ways in which 6 people be selected out of 12 so that two particular members area always excluded is

• 210

• 180
• 300
• 120

The number of ways can 4 people occupy 6 vacant chairs is

• 240
• 480
• 120
• 360

The number of ways 9 flowers of different colors can be strung together to form a garland is

• 9 !

• 10 !

Number of ways can 10 people be seated around a table is

• 362808

• 36288

• 326808

• 362880

There are 4 routes to go from A to B an 3 routes to go from B to C, then number of ways to go from A to c via B is

• 15
• 9
• 6
• 12

The number of words that can be formed by using all the letters of the word "MONDAY" is

• 720
• 600
• 360
• 840

• 2

• 3

• 6

• 9