Question

5. How many triangles can be formed by 7 points if no three of which are collinear? A. 35 B. 36 C. 37 D. 38 6. How many triangles can be drawn given 6 points on the circle? A. 15 B. 20 C. 25 D. 30 7. From the class officers of Grade 10 Makabansa, president, vice president, secretary, treasurer and auditor, how many ways can a committee with 4 members be formed? A. 2 B. 4 C. 5 D. 10

          5. How many triangles can be formed by 7 points if no three of which are collinear?
A. 35
B. 36
C. 37
D. 38
6. How many triangles can be drawn given 6 points on the circle?
A. 15
B. 20
C. 25
D. 30
7. From the class officers of Grade 10 Makabansa, president, vice president, secretary,
treasurer and auditor, how many ways can a committee with 4 members be formed?
A. 2
B. 4
C. 5
D. 10

5. How many triangles can be formed by 7 points if no three of which are collinear?
A. 35
B. 36
C. 37
D. 38
6. How many triangles can be drawn given 6 points on the circle?
A. 15
B. 20
C. 25
D. 30
7. From the class officers of Grade 10 Makabansa, president, vice president, secretary,
treasurer and auditor, how many ways can a committee with 4 members be formed?
A. 2
B. 4
C. 5
D. 10

Added by Matthew A.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Dominador Tan

Step 1

The number of ways to choose 3 points out of n points is given by the combination formula C(n, 3) = n! / (3!(n-3)!). Plugging in n = 7 (assuming there are 7 points), we get C(7, 3) = 7! / (3!(7-3)!) = 35. So the answer is A. 35. Show more…

Show all steps

Thanks for your feedback!

How many triangles can be formed by points if none of them are collinear? A: 35 B. 36 C. 37 How many triangles can be drawn given points on the circle? C. 25 D. 30 From the class officers of Grade 10 Makabansa, president, vice president; secretary, treasurer and auditor, how many Wiy5 committee with members be formed? D: 10