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From Karnataka Open Educational Resources
Activity-permutations and combinations problems (view source)
Revision as of 03:41, 30 October 2019
, 03:41, 30 October 2019added Category:Permutations and Combinations using HotCat
Hence by fundamental principle of counting total number of ways =1X5X4X3=60 numbers
Hence by fundamental principle of counting total number of ways =1X5X4X3=60 numbers
=Problem 3=
=Problem 3=
'''How many 1) lines 2) Triangles can be drawn through 8 points on a circle'''<br>
'''How many 1) lines 2) Triangles can be drawn through 8 points on a circle'''<br>
<math>{^{8}}C_{2}</math>=4X7<br>
<math>{^{8}}C_{2}</math>=4X7<br>
<math>{^{8}}C_{2}</math>=28 numbers
<math>{^{8}}C_{2}</math>=28 lines can be drawn
*For drawing a triangle we need 3 non co-linear points hence selecting 3 points out of 8 given we have<br>
*For drawing a triangle we need 3 non co-linear points hence selecting 3 points out of 8 given we have<br>
<math>{^{8}}C_{3}</math> combinations<br>
<math>{^{8}}C_{3}</math> combinations<br>
<math>{^{8}}C_{2}</math>=8X7<br>
<math>{^{8}}C_{2}</math>=8X7<br>
<math>{^{8}}C_{2}</math>=56 numbers
<math>{^{8}}C_{2}</math>=56 triangles can be drawn
[[Category:Permutations and Combinations]]
