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GATE CS 2021 : Discrete math Quiz 3 (App update required to attempt this test)

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Question 1

A letter lock contains 4 rings, each ring containing 5 letters. In how many ways a key can be formed?

Question 2

Consider the word GRADEUP, how many different words can be created using the letters of the word GRADEUP such that ‘D’ comes in the beginning of all the words and ‘A’ comes in the end of all the words?

Question 3

If the ordinary generating function of a sequence

then

is equal to _____.

Question 4

Number of combinations of n dissimilar things taken all at a time_____________.

Question 5

Find the number of odd integers between 1000 and 9999 have distinct digits.

Question 6

Let L₁ = {a^k | k = 5n; 1 ≤ k ≤ 100}; and L₂ = {a^k | k = 7n; 1 ≤ k ≤ 100}.

Then the number of strings in L₁∪ L₂is equal to ________.

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GATE & PSU CS Discrete Mathematics

Apr 14GATE & PSU CS