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Circular - Permutation || Quantitative Aptitude || CAT 2021 || 08 June

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Question 1

Five students are to be arranged on five chairs for a photograph. Three of these are girls and the rest are boys. Find out the total number of ways in which three girls are together.

Question 2

4 Spoons and 4 Plates are to be arranged on a table such that a spoon and a table always occupy alternate positions. Find the total number of arrangements possible.

Question 3

6 Boys and 6 Girls are to be seated around a circular table so that the person of same gender never sits together. Find the total number of arrangements.

Question 4

In how many ways can we arrange 9 different flowers in a circle to form a garland using these flowers?

Question 5

Direction: Each of the 11 letters A, H, I, M, O, T, U, V, W, X and Z appears same when looked at in a mirror. They are called symmetric letters. Other letters in the alphabets are asymmetric letters.
How many three-letter computer passwords can be formed (no repetition allowed) with at least one symmetric letter?

Question 6

Direction: Each of the 11 letters A, H, I, M, O, T, U, V, W, X and Z appears same when looked at in a mirror. They are called symmetric letters. Other letters in the alphabets are asymmetric letters.
How many four-letter computer passwords can be formed using only the symmetric letters (no repetition allowed)?

Question 7

A party is organized for 16 women along two side of a rectangular table with 8 rockers on each side. Four women wish to sit on one particular and two on the other side. In how many ways can they be seated?

Question 8

In how many ways can we arrange 7 different flowers in a circle to form a garland using these flowers?

Question 9

Find the number of ways in which ten different flowers can be strung together to make a garland in such a way that three particular flowers are always together?

Question 10

A person is having 10 flowers in which 3 are of same type A and 2 are of same type B. He wants to make garland out of all the flowers he is having. How many types of Garland are possible?
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Jun 8CAT & MBA