Introduction to RCT math practice
Rct math practice includes aspects of Algebra, ratio, proportion, percent, rational numbers, probability, permutation, Statistics, geometry and Consumer Mathematics. In this article we shall discuss about some important rct math practice problem s. let us we discuss about algebra problems, permutation problem and combinations problems.
RCT math practice example problems
Example 1:
How many three-digit numbers can be formed by using the digits 1, 2, 3, 4, 5.
We have to determine the total number of three digit numbers formed by using the digits 1, 2, 3, 4, 5.
Clearly, the repetition of digits is allowed.
A three digit number has three places viz. units, ten’s and hundred’s. Unit’s place can be filled by any of the digits 1, 2, 3, 4, 5. So unit’s place can be filled in 5 ways.
Similarly, each one of the ten’s and hundred’s place can be filled in 5 ways.
Total number of required numbers
= 5 × 5 × 5 = 125
Example 2:
Solve for x:
6 x - 4 = 2 x – 10
Subtract 2x from both sides of the equation
6x – 2x – 4 = 2x – 2x – 10
4x – 4 = - 10
Add 4 to both sides of the equation
2x – 4 + 4 = - 12 + 4
2x = - 8
Divided by 2 both side of the equation
x = - 4
The answer x is – 4
Example 3:
If nC3 = nC6, find 12Cn
Solution:
nC4 = nC6 n = 3 + 6 = 9
Now 12Cn = 12C9
= 12C (12 ? 9) = 12C3
=12 × 11
1 × 2× 3
= 22
Example 4:
Find the number of different 4-letter words with or without meanings that can be formed from the letters of the word ‘NUMBER’
Solution:
There are 6 letters in the word ‘NUMBER’.
So, the number of 4-letter words
= the number of arrangements of 6 letters taken 4 at a time
= 6P4
= 360
Please express your views of this topic math tutoring for free by commenting on blog.
RCT math practice problems
Question 1:
In how many ways can 5 gentlemen and 5 ladies sit together at a round table, so that no two ladies may be together?
Answer:2880
Question 2:
How many different signals can be made by hoisting 6 differently colored flags one above the other, when any number of them may be hoisted at one time?
Answer:1956
Rct math practice includes aspects of Algebra, ratio, proportion, percent, rational numbers, probability, permutation, Statistics, geometry and Consumer Mathematics. In this article we shall discuss about some important rct math practice problem s. let us we discuss about algebra problems, permutation problem and combinations problems.
RCT math practice example problems
Example 1:
How many three-digit numbers can be formed by using the digits 1, 2, 3, 4, 5.
We have to determine the total number of three digit numbers formed by using the digits 1, 2, 3, 4, 5.
Clearly, the repetition of digits is allowed.
A three digit number has three places viz. units, ten’s and hundred’s. Unit’s place can be filled by any of the digits 1, 2, 3, 4, 5. So unit’s place can be filled in 5 ways.
Similarly, each one of the ten’s and hundred’s place can be filled in 5 ways.
Total number of required numbers
= 5 × 5 × 5 = 125
Example 2:
Solve for x:
6 x - 4 = 2 x – 10
Subtract 2x from both sides of the equation
6x – 2x – 4 = 2x – 2x – 10
4x – 4 = - 10
Add 4 to both sides of the equation
2x – 4 + 4 = - 12 + 4
2x = - 8
Divided by 2 both side of the equation
x = - 4
The answer x is – 4
Example 3:
If nC3 = nC6, find 12Cn
Solution:
nC4 = nC6 n = 3 + 6 = 9
Now 12Cn = 12C9
= 12C (12 ? 9) = 12C3
=12 × 11
1 × 2× 3
= 22
Example 4:
Find the number of different 4-letter words with or without meanings that can be formed from the letters of the word ‘NUMBER’
Solution:
There are 6 letters in the word ‘NUMBER’.
So, the number of 4-letter words
= the number of arrangements of 6 letters taken 4 at a time
= 6P4
= 360
Please express your views of this topic math tutoring for free by commenting on blog.
RCT math practice problems
Question 1:
In how many ways can 5 gentlemen and 5 ladies sit together at a round table, so that no two ladies may be together?
Answer:2880
Question 2:
How many different signals can be made by hoisting 6 differently colored flags one above the other, when any number of them may be hoisted at one time?
Answer:1956
