MEDIUM
JEE Advanced
IMPORTANT
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A rack has 5 different pairs of shoes. The number of ways in which 4 shoes can be chosen from it so that there will be no complete pair, is

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Important Questions on Permutation and Combination

MEDIUM
JEE Advanced
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 6 - Permutation and Combination>Work Book Exercise 6.4>Q 7
The number of ways in which 7 people can occupy 6 seats, 3 seats on each side in a first class railway compartment, if two specified persons are to be always included and occupy adjacent seats on the same side, is (5!)·k, then k has the value equal to
HARD
JEE Advanced
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 6 - Permutation and Combination>Work Book Exercise 6.4>Q 8
The number of different ways in which five 'dashes' and eight 'dots' can be arranged, using only seven of these 13 'dashes' and 'dots', is
HARD
JEE Advanced
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 6 - Permutation and Combination>Work Book Exercise 6.4>Q 9
There are n identical red balls and m identical green balls. The number of different linear arrangements consisting of n red balls but not necessarily all the green balls is Cyx, then:
HARD
JEE Advanced
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 6 - Permutation and Combination>Work Book Exercise 6.4>Q 10
In a unique hockey series between India and Pakistan, they decide to play on till a team wins 5 matches. The number of ways in which the series can be won by India, if no match ends in a draw, is
EASY
JEE Advanced
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 6 - Permutation and Combination>Work Book Exercise 6.4>Q 11
The number of ways in which n things of which r alike and the rest different can be arranged in a circle distinguishing between clockwise and anti-clockwise arrangement, is
HARD
JEE Advanced
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 6 - Permutation and Combination>Work Book Exercise 6.4>Q 12
A gentleman invites a party of m+n(m≠n) friends to dinner and places m at one table T1 and n at another table T2, the table being round. If not all people shall have the same neighbour in any two arrangement, then the number of ways in which he can arrange the guests, is
MEDIUM
JEE Advanced
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 6 - Permutation and Combination>Work Book Exercise 6.4>Q 13
12 guests at a dinner party are to be seated along a circular table. Supposing that the master and mistress of the house have fixed seats opposite to one another and that there are two specified guests who must always be placed next to one another, then the number of ways in which the guests can be placed, is
HARD
JEE Advanced
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 6 - Permutation and Combination>Work Book Exercise 6.4>Q 14
The number of signals that can be generated by using 6 differently coloured flags, when any number of them may be hoisted at a time, is