Permutation Practice Questions - NDA Mathematics Question Bank

Question 1 of 5 NDA MCQ

How many odd numbers between 300 and

400 are there in which none of the digits is

repeated?

Detailed Explanation

Question 2 of 5 NDA MCQ

Let A = {1, 2, 3, 4, 5} and B = {6, 7}. What is the number of onto functions from A to B?

Detailed Explanation

n(A) = 5 and n(B) = 2

Number of onto functions = 2⁵ – ²C₁(2 – 1)⁵ =

32 – 2 = 30

Question 3 of 5 NDA MCQ

In how many ways can the letters of the word INDIA be permutated such that in each combination, vowels should occupy odd positions?

Detailed Explanation

Question 4 of 5 NDA MCQ

The letters of the word EQUATION are arranged in such a way that all vowels as well as consonants are together. How many such arrangements are there?

Detailed Explanation

Question 5 of 5 NDA MCQ

How many 7-letter words (with or without meaning) can be constructed using all the letters of the word CAPITAL so that all consonants come together in each word?

Detailed Explanation

Permutation

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