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PnC 5-SELECTIONS & GROUPING || Quantitative Aptitude || CAT 2021 || 22 October
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Question 1
From a group of 5 men and 10 women a committee has to formed of 5 members in which at least 4 men are required. The committee can be formed in ________ ways.
Question 2
A group of 7 persons is to be selected from a group having 8 females and 7 males. In how many ways can a group of at least 2 females and at least 3 males be selected?
Question 3
A cricket committee is formed in which there will be six members. All members are to be selected from a group of seven bowlers and six batsmen. In how many ways will the committee be formed which have at least two bowlers and at least two batsmen?
Question 4
A certain stock exchange designates each stock with a one , two, or three-letter code, where each letter is selected from the 26 letters of the alphabet. If the letter may be repeated and if the same letters used in a different order constitute a different code, how many different stocks is possible to uniquely designate with these codes?
Question 5
For a scholarship, at the most n candidates out of 
can be selected. If the number of different ways of selection of at least one candidate is 63, the maximum number of candidates that can be selected for the scholarship is
can be selected. If the number of different ways of selection of at least one candidate is 63, the maximum number of candidates that can be selected for the scholarship is Question 6
8 members are to be selected from a group of 9 males and 7 females. In how many ways will the members with at most 3 females and at least 4 males be selected?
Question 7
There are 15 intermediate stations between Kota and Delhi. In how many ways can Nizamuddin Express be made to stop at 6 of these intermediate stations that no two stations are consecutive?
Question 8
Out of 5 men and 3 women, a committee of 3 members is to be formed so that it has 1 woman and 2 men. In how many different ways can it be done?
Question 9
A group of players consists of 8 players, of which 5 are males and 3 are females. In how many ways can 6 players be selected such that at least 3 male players are selected?
Question 10
A team of 7 children is to be selected out of 7 girls and 5 boys such that it contains at least 5 girls. In how many different ways can the selection be made?
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