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A rectangle with sides (2 m-1) and (2 n-1) is divided into squares of unit length by drawing parallel lines as shown in the diagram, then the number of rectangles possible with odd side lengths is

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Important Questions on Permutations & Combinations

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Quantum CAT Also Useful for XAT>Chapter 19 - SNAP>CMAT>Q 71
A black ant has to go from the origin to a point (6,4) on the Cartesian plane, using the coordinate axes. However, it avoids crossing the point (4,1), as a red ant is sitting there. Find the total number of shortest paths that it can go along.
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Quantum CAT Also Useful for XAT>Chapter 19 - SNAP>CMAT>Q 72
The number of seven digit integers, with sum of the digits equal to 10 and formed by using the digits 1, 2 & 3 only, is:
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Quantum CAT Also Useful for XAT>Chapter 19 - SNAP>CMAT>Q 73
Find the maximum possible number of regions created by 6 overlapping triangles.
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Quantum CAT Also Useful for XAT>Chapter 19 - SNAP>CMAT>Q 74
Find the total number of three digit numbers, which have their digits in increasing order, as in, for a three digit number abc, there must be a<b<c.
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Quantum CAT Also Useful for XAT>Chapter 19 - SNAP>CMAT>Q 75
There are three straight lines dividing the circle into maximum possible number of regions. If three additional lines are drawn, what is the maximum possible number of additional regions that can be formed in the circle?
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Quantum CAT Also Useful for XAT>Chapter 19 - SNAP>CMAT>Q 76
Spiritual Guru H. E. Dalai Lama is on a world tour to speak on peace and compassion. His itinerary mentions only four continents - Asia, Africa, Europe and America - for this visit. What is the minimum number of countries he should visit to ensure that at least 21 Asian or at least 16 African or at least 11 European or at least 6 American countries must be visited?
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Quantum CAT Also Useful for XAT>Chapter 19 - SNAP>CMAT>Q 77
Arya, Bran, Cersei, Daenerys, Petyr, and Tyrion are seated in six chairs placed in a row. Maximum how many seating arrangements are possible if A must sit next to B, but P cannot sit next to T?
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Quantum CAT Also Useful for XAT>Chapter 19 - SNAP>CMAT>Q 78
How many 6 digit telephone numbers can be formed if each number starts with 91 and sum of the digits is equal to 16 ?