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There is a line with 10 dots and another line with 8 dots. Find the possible no. of triangles.
Read Solution (Total 8)
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- TWO CASES WILL ARISE
CASE 1: SELECTING 2 DOT FROM 10 DOTS AND SELECTING 1 DOT FROM 8 DOT
C(10,2)*C(8,1)=360
CASE 2: SELECTING 2 DOT FROM 8 DOTS AND 1 DOT FROM 10 DOTS
C(8,2)*C(10,1)=280
sO,TOTAL = 360+280=640. - 11 years agoHelpfull: Yes(60) No(0)
- Ans. 640
Thought process:
Select any three points from all total 18 dots and then subtract those triangles formed with co-linear points.
It will be (10+8)C3-(10C3+8C3)=640. - 11 years agoHelpfull: Yes(18) No(0)
- 10c2*8c1+8c2*10c1=640
- 11 years agoHelpfull: Yes(8) No(0)
- sorry for last answer;
640 is right answer;
18c3-10c3-8c3=640; - 11 years agoHelpfull: Yes(5) No(0)
- CASE 1: SELECTING 2 dots FROM 10dots line AND SELECTING 1 DOT FROM 8dots line
10C2 * 8C1 = 360
CASE 2: SELECTING 2 dots FROM 8dots line AND 1 DOT FROM 10dots line
8C2 * 10C1 = 280
ans = 360+280=640 - 11 years agoHelpfull: Yes(4) No(0)
- 18c3-10c3-8c3
- 11 years agoHelpfull: Yes(3) No(1)
- Ans:1048;
18c3-10c3-8c3=1048; - 11 years agoHelpfull: Yes(0) No(6)
- we can select 2 points from one line and 1 from other line
so total ways 10c2*8c1+10c1*8c2
=360+280
=640 - 11 years agoHelpfull: Yes(0) No(0)
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