P & C

1.An unlimited number of red, white, blue and green balls are given. The number of ways of
selecting 10 balls is ?
2.The greatest possible number of points of intersection of 8 straight lines and 4 circles is?

4 Answers

11
Tush Watts ·

Ans 2) 8 straight lines intersects each other in 8 C 2 ways = 28 points

4 circles intersects each other in 4 P 2 ways = 12 points

Now, every line cuts 4 circles into 8 points. Therefore, 8 st liines will cut 4 circles into 64 points.

Therefore, the max no. of points = 28 + 12 + 64 = 104 points

1
Amritansh Bharech ·

the first ques. is same as answerin the no. of solns to x + y + z +x + w = 10 , all >=0

1
souravkundu ...... ·

i agree to both tushar n amritansh

24
eureka123 ·

maybe Amritansh made a typo

its x+y+z+w=10

=> 10+4-1C4-1=13C3=286

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