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Union Public Service Commission [UPSC] has released the NDA Result II 2022 [Name Wise List] for the exam that was held on 4th September 2022. Earlier, the roll number wise list was released by the board. A total number of 400 vacancies will be filled for the UPSC NDA II 2022 exam. The selection process for the exam includes a Written Exam and SSB Interview. Candidates who get successful selection under UPSC NDA II will get a salary range between Rs. 15,600 to Rs. 39,100.
To form a triangle we need 3 non-collinear points.
Take the 7 points lying on one line be group A and the remaining 8 points lying on another parallel line be group B.
We have the following possibilities
| Group A 7 points |
Group B 8 points |
Combination | |
| [i] | 2 | 1 | 7C2 × 8C1 |
| [ii] | 1 | 2 | 7C1 × 8C2 |
∴ Required number of ways of forming the triangle
= [7C2 × 8C1] + [7C1 × 8C2]
= `[7!]/[2![7 - 2]!] xx 8 + 7 xx [8!]/[2![8 - 2]!]`
= `[7!]/[2 xx 5!] xx 8 + 7 xx [8!]/[2! xx 6!]`
= `[7 xx 6 xx 5! xx 8]/[2! xx 5!] + [7 xx 8 xx 7 xx 6!]/[2! xx 6!]`
= `[7 xx 6 xx 8]/[2! xx 5!] + [7 xx 8 xx xx 6!]/[2! xx 6!]`
= `[7 xx 6 xx8]/[2 xx 1] + [7 xx 8 xx 7]/[2 xx 1]`
= 7 × 6 × 4 + 7 × 4 × 7
= 168 + 196
= 364