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CUET PG MCA Previous Year Questions (PYQs)

CUET PG MCA Permutations And Combinations PYQ



The number of 7-digit numbers whose sum of the digits equals to 10 and which is formed by using the digits 1, 2, and 3 only is:





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Solution



There are 15 points in a plane such that 5 points are collinear and no three of the remaining points are collinear then total number of straight lines formed are:





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Solution



If permutaiton of the letters of the word ‘AGAIN’ are arranged in the order as in a dictionary then 49th word i





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Solution



4 Indians, 3 Americans and 2 Britishers are to be arranged around a round table. Answer the following questions.

The number of ways arranging them is :





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Solution



4 Indians, 3 Americans and 2 Britishers are to be arranged around a round table. Answer the following questions.

The number of ways arranging them so that the two Britishers should never come together is:





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Solution



4 Indians, 3 Americans and 2 Britishers are to be arranged around a round table. Answer the following questions.

The number of ways of arranging them so that the three Americans should sit together is:





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Solution

Short Solution:

Total people = 4 Indians + 3 Americans + 2 Britishers = 9
Since arrangement is around a circular table, we fix one position ⇒ remaining to arrange: 8 positions

Group the 3 Americans together as a single unit ⇒ total units = 4 Indians + 1 American group + 2 Britishers = 7 units
Circular arrangement of 7 units = (71)!=6!

Internal arrangements of 3 Americans = 3!

Total arrangements =
6!×3!=720×6=4320


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CUET PG MCA


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