EASY
CAT
IMPORTANT
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In the above question (no. 13) if the question number 1 is compulsory in how many ways can you choose to answer 6 questions in all?

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Important Questions on Permutations & Combinations

EASY
CAT
IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 19 - SNAP>CMAT>Q 15
Droupdi has 5 friends. In how many ways can she invite one or more of them to a dinner?
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CAT
IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 19 - SNAP>CMAT>Q 16
In how many ways can a committee of 6 members be formed from 7 men and 6 ladies consisting of 4 men and 2 ladies?
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CAT
IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 19 - SNAP>CMAT>Q 17
A committee of 5 persons is to be formed from a group of 6 gentlemen and 4 ladies. In how many ways can this be done if the committee is to be included atleast one lady?
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CAT
IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 19 - SNAP>CMAT>Q 18
A committee of 7 persons is to be chosen from 13 persons of whom 6 are Americans and 7 are Indians. In how many ways can the selection be made so as to retain a majority of Indians?
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CAT
IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 19 - SNAP>CMAT>Q 19
In how many ways can a committee of 4 men and 3 women be appointed from 6 men and 8 women?
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CAT
IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 19 - SNAP>CMAT>Q 20
In the previous question (no. 19) what will be the number of committees in which Miss A refuses to serve if Mr. B is a member?
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CAT
IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 19 - SNAP>CMAT>Q 21
In how many ways 7 members forming a committee out of 11 be selected so that 3 particular members must be included?
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CAT
IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 19 - SNAP>CMAT>Q 22
In the previous question (no. 21) how many committees can be formed if 3 particular members must not be included?