COMBINATION NOTATION

2. There are 4 distinct points on a plane where no 3 points are collinear.How many polygons can be possibly formed?In the given problem, which of the following is not a representation of r?

A.Circle

B. Square

C. Trapezoid

D. Triangle

3.Which of the following is the combination notation of this problem:

In a class of 10 boys and 15 girls,5 boys and 8 girls will be chosen to sing a special number for the World Teachers' Day celebration. How many ways can the students be chosen?

A.25C13C.10C5 15C5

B. 13C25D.10C5 + 15C5

4. A combination of 3 balls are picked at random from a box containing 5 green, 4 white, and 3 black balls.In how many ways can the set be chosen to contain at least 2 green balls? Which of the following combination notation will best represent the problem?

A. 5C2

B. 12C3

C. 5C2 7C1

D. 5C2 7C1 + 5C3

5. Consider a standard deck of 52 cards.How many different four-card hands can

be formed with at most 2 jacks? Which of the following combination notation will

representthe problem?

A. 4C4

B. 52C4

C.52C1 52C2 52C3 52C4

D.48C2 4C2 + 48C3 4C1 + 48C4 4Co

2. In 1/C(15n,1) = 102/C(18,4) , which of the followingis the value of n?

A.2 B.7C.12D.19

3. In[11!/r!(11,r)!] - 6 = C(18,17), which of the followingis the value of r?

A.3B.5C.7D.9

4.Six points lie on a circle. How many triangles can be drawn using these points as vertices?

A.5B.10C.15D.20

5.Five letters are to be selected from the word ALGORITHM.How many of these choices contain at least 2 vowels?

A. 3B. 20 C.36 D.75