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Grade 10 Math Combinations Worksheet

The document provides examples and problems involving combinations and binomial expansions. It includes problems calculating combinations, drawing cards and committees from groups, geometrical problems involving points and lines, and expanding binomial expressions. The problems cover a range of combination and binomial expansion concepts.

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Charles Andrew Bondoc
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156 views1 page

Grade 10 Math Combinations Worksheet

The document provides examples and problems involving combinations and binomial expansions. It includes problems calculating combinations, drawing cards and committees from groups, geometrical problems involving points and lines, and expanding binomial expressions. The problems cover a range of combination and binomial expansion concepts.

Uploaded by

Charles Andrew Bondoc
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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RIZAL NATIONAL SCIENCE HIGH SCHOOL

Batingan, Binangonan, Rizal


WORKSHEET IN GRADE 10 MATH
Combinations
Name:Charles Andrew G. Bondoc Section:10-Perseverance Date:3/9/2022
A. Solve for the value of the unknown variable.
1. 8C3 = x 4. 10Cr = 120
2. nC4 = 15 5. nC2 = 78
3. 8Cr = 28
B. Solve the following problems.
1. In how many ways can a student select seven academic subjects from 5 electives and 7
major subjects if 2 electives and 5 major subjects must be selected?
2. From a standard deck of playing cards, how many 5 card hands having exactly:
a. 3 aces can be dealt?
b. 5 face cards can be dealt?
c. 2 diamonds, a spade, a heart and a club can be dealt?
d. at least 2 hearts can be dealt?
e. at least 3 black cards can be dealt?
3. A committee of 6 is to be formed from a group of 5 sophomores, 7 juniors, and 8 seniors.
In how many ways can this be done if:
a. there shall be 2 members from each class on the committee?
b. there shall be no sophomore on the committee?
c. there shall be exactly 3 seniors, 2 juniors, and 1 sophomore on the
committee? d. there shall be at most 2 sophomores on the committee?
e. all committee members are sophomores?
4. For each given number of points on a plane where no three of which are collinear,
determine the following:
a. the number of lines that can be drawn using these points.
b. the number triangles that can be drawn using the given points as vertices. c.
the number of polygons that can be drawn using the given points as vertices.
i. 15 points ii. 6 points
5. Determine how many diagonals can be drawn from a polygon with the given number of
sides.
a. 19 sides c. 8 sides
b. 25 sides
6. Perform the binomial expansion (3x – 2y)5
7. Solve for the indicated term of each binomial expansion.
a. Find the 9th term in the expansion of (y – 3x)12.
b. In the expansion of (3a – 4b)7, what is 7th term?
c. In the expansion (5x + 2y)15 what is the term that involves x8?

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