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Mathematics Mcqs

Using all the letters of the word “NOKIA”, how many words can be formed, which begin with N and end with A?

Mathematics Mcqs, Permutations and Combinations /
Using all the letters of the word “NOKIA”, how many words can be formed, which begin with N and end with A?

A. 3
B. 6
C. 24
D. 120
Explanation:
There are five letters in the given word.
Consider 5 blanks ….
The first blank and last blank must be filled with N and A all the remaining three blanks can be filled with the remaining 3 letters in 3! ways.
The number of words = 3! = 6.

Using all the letters of the word “NOKIA”, how many words can be formed, which begin with N and end with A? Read More »

Mathematics Mcqs, Permutations and Combinations

Using all the letters of the word “THURSDAY”, how many different words can be formed?

Mathematics Mcqs, Permutations and Combinations /
Using all the letters of the word “THURSDAY”, how many different words can be formed?

A. 8
B. 8!
C. 7!
D. 7
Explanation:
Total number of letters = 8
Using these letters the number of 8 letters words formed is ⁸P₈ = 8!.

Using all the letters of the word “THURSDAY”, how many different words can be formed? Read More »

Mathematics Mcqs, Permutations and Combinations

How many three letter words are formed using the letters of the word TIME?

Mathematics Mcqs, Permutations and Combinations /
How many three letter words are formed using the letters of the word TIME?

A. 12
B. 20
C. 16
D. 24
Explanation:
The number of letters in the given word is four.
The number of three letter words that can be formed using these four letters is ⁴P₃ = 4 * 3 * 2 = 24.

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Mathematics Mcqs, Permutations and Combinations

A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?

Mathematics Mcqs, Permutations and Combinations /
A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?

A. 21
B. 12
C. 9
D. 108

Explanation:
The boy can select one trouser in nine ways.
The boy can select one shirt in 12 ways.
The number of ways in which he can select one trouser and one shirt is 9 * 12 = 108 ways.

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Mathematics Mcqs, Permutations and Combinations

In how many different ways can the letters of the word ‘OPTICAL’ be arranged so that the vowels always come together?

Mathematics Mcqs, Permutations and Combinations /
In how many different ways can the letters of the word ‘OPTICAL’ be arranged so that the vowels always come together?

A. 120
B. 720
C. 4320
D. 2160

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Mathematics Mcqs, Permutations and Combinations

In how many different ways can the letters of the word ‘MATHEMATICS’ be arranged so that the vowels always come together?

Mathematics Mcqs, Permutations and Combinations /
In how many different ways can the letters of the word ‘MATHEMATICS’ be arranged so that the vowels always come together?

A. 10080
B. 4989600
C. 120960
D. None of these

In how many different ways can the letters of the word ‘MATHEMATICS’ be arranged so that the vowels always come together? Read More »

Mathematics Mcqs, Permutations and Combinations

How many 4-letter words with or without meaning, can be formed out of the letters of the word, ‘LOGARITHMS’, if repetition of letters is not allowed?

Mathematics Mcqs, Permutations and Combinations /
How many 4-letter words with or without meaning, can be formed out of the letters of the word, ‘LOGARITHMS’, if repetition of letters is not allowed?

A. 40
B. 400
C. 5040
D. 2520

How many 4-letter words with or without meaning, can be formed out of the letters of the word, ‘LOGARITHMS’, if repetition of letters is not allowed? Read More »

Mathematics Mcqs, Permutations and Combinations

In how many different ways can four books A, B, C and D be arranged one above another in a vertical order such that the books A and B are never in continuous position?

Mathematics Mcqs, Permutations and Combinations /
In how many different ways can four books A, B, C and D be arranged one above another in a vertical order such that the books A and B are never in continuous position?

A. 9
B. 12
C. 14
D. 18
Explanation:
The number of arrangement in which A and B are not together
= Total number of arrangements
= Number of arrangements in which A and B are together =4!-3!x2! = 24-12 =12.

In how many different ways can four books A, B, C and D be arranged one above another in a vertical order such that the books A and B are never in continuous position? Read More »

Mathematics Mcqs, Permutations and Combinations