Table of Contents
- 1 What set of letters is the word MATHEMATICS?
- 2 How many arrangements are there of the word MATHEMATICS?
- 3 How many 4 letters words can we make with the letters in the word mathematics?
- 4 What is cardinality of AUB?
- 5 How many words can be made by using all letters of the word MATHEMATICS?
- 6 What is the mean proportional between 4 and 9?
- 7 What is the number at the top of a fraction called?
- 8 Where does the word mathematics come from and what does it mean?
What set of letters is the word MATHEMATICS?
In the word ‘Mathematics’, we treat the vowels A, E, A, I as one letter. Thus, we have MTHMTCS (AEAI). Now, we have to arrange letters, out of which M occurs twice, T occurs twice, and the rest are different. Now, vowels A, E, I, A, has 4 letters in which A occurs 2 times and rest are different.
What is the cardinality of M in the word MATHEMATICS?
The cardinality of the set of letters of the word MATHEMATICS is 8.
How many arrangements are there of the word MATHEMATICS?
The word MATHEMATICS consists of 2 M’s, 2 A’s, 2 T’s, 1 H, 1 E, 1 I, 1 C and 1 S. Therefore, a total of 4989600 words can be formed using all the letters of the word MATHEMATICS.
What is the ratio of consonants to vowels in the word MATHEMATICS?
7 : 4 In the word MATHEMATICS, the number of consonants are 7 and the number of vowels are 4.
How many 4 letters words can we make with the letters in the word mathematics?
Therefore, the number of ways in which four letters of the word MATHEMATICS can be arranged is 2454.
How many words can be formed by using all letters of the word maths?
Thus, we have MTHMTCS (AEAI). Number of ways of arranging these letters =8! / ((2!)( 2!)) = 10080.
What is cardinality of AUB?
A ⋃ B, A ⋂ B? The cardinality of B is 4, since there are 4 elements in the set. The cardinality of A ⋃ B is 7, since A ⋃ B = {1, 2, 3, 4, 5, 6, 8}, which contains 7 elements. The cardinality of A ⋂ B is 3, since A ⋂ B = {2, 4, 6}, which contains 3 elements.
How many 4 letters words can we make with the letters in the word MATHEMATICS?
How many words can be made by using all letters of the word MATHEMATICS?
What are the vowels in the word Mathematics?
In the word ‘Mathematics’, we treat the vowels A, E, A, I as one letter. Thus, we have MTHMTCS (AEAI).
What is the mean proportional between 4 and 9?
Answer: The mean proportional between 4 and 9 is 6.
Which is an example of a fraction in math?
In Mathematics, a fraction defined as the part of the whole thing. For example, a pizza is divided into four equal pieces, then each piece is represented by ¼. Fractions help to distribute and judge the numbers easily and make the calculation faster. Instead of using decimal values, the representation of fractions looks simpler.
What is the number at the top of a fraction called?
A fraction has two parts. The number on the top of the line is called the numerator. It tells how many equal parts of the whole or collection are taken.
What are the two parts of a fraction?
A fraction has two parts, namely numerator and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator. The numerator defines the number of equal parts taken, whereas the denominator defines the total number of equal parts in a whole.
Where does the word mathematics come from and what does it mean?
The word mathematics comes from Ancient Greek μάθημα ( máthēma ), meaning “that which is learnt”, “what one gets to know”, hence also “study” and “science”. The word for “mathematics” came to have the narrower and more technical meaning “mathematical study” even in Classical times.