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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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Important Questions on Permutations & Combinations

MEDIUM
CAT
IMPORTANT
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?
MEDIUM
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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 ?
MEDIUM
CAT
IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 19 - SNAP>CMAT>Q 79
Jwala Gutta and P. V. Sindhu play a one-day serie They stop playing matches as soon as one of them wave 3 matches and in this series no match is drawn. In how many ways can this series be won?
MEDIUM
CAT
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Quantum CAT Also Useful for XAT>Chapter 19 - SNAP>CMAT>Q 80
Let there be a random number n such that the product of its digits is 6 . How many values of n are there, if n lies between 109 and 1010?
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CAT
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Quantum CAT Also Useful for XAT>Chapter 19 - SNAP>CMAT>Q 81
Sarvesh wants to prepare a bouquet with roses, lilies, orchids and carnations, so he walked into a large garden of flowers. In how many ways can he prepare a bouquet of 15 flowers such that he selects at least 1 rose, 2 lilies, 3 orchids and 4 carnations for his bouquet?
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Quantum CAT Also Useful for XAT>Chapter 19 - SNAP>CMAT>Q 1
The number of ways in which the following prize be given to a class of 30 boys first and second in mathematics, first and second in physics, first in chemistry and first in English is