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GATEBOOK2019DM216
How many solutions does the equation a+b+c+d+e+f = 2006 have where a, b, c, d, e, and f are all positive integers? A. B. C. D.
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Oct 28
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gb2019dm2
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1
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2
GATEBOOK2019DM24
The number of permutations of {1, 2, 3, 4, 5} in which at least one odd integer is in its natural position is
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Oct 28
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37
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gb2019dm2
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1
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3
GATEBOOK2019DM25
How many ways can the letters {a, b, c, d, e} be placed into 3 identical boxes such that no box is empty ?
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Oct 28
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41
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gb2019dm2
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0
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1
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4
GATEBOOK2019DM26
In how many ways can 10 women and 4 men line up in a straight line so that no two men are consecutive? A. B. C. D.
asked
Oct 28
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Combinatory
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21
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gb2019dm2
discretemathematics
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5
GATEBOOK2019DM28
A bowl contains 5 red balls and 7 silver ones. A woman chooses balls at random without looking at them. How many must she choose, to be sure of having at least 3 of the same color? A. 7 B. 11 C. 10 D. 5
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Oct 28
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14
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gb2019dm2
discretemathematics
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0
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1
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6
GATEBOOK2019DM23
How many numbers in {1, 2, · · · ,10000} have their digits sum to 7 ? (ex: 502).
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Oct 28
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gb2019dm2
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7
GATEBOOK2019DM21
How many paths are there from the lower left corner to the upper right corner, moving only up or to the right ? Path can not go through any of the dotted lines A. B. C. D.
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Oct 28
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24
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gb2019dm2
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0
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GATEBOOK2019DM22
In how many ways can 2 red and 4 blue rooks be placed on an 8by8 board so that no two rooks can attach on another ? A. B. C. D.
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Oct 28
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15
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gb2019dm2
discretemathematics
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9
GATEBOOK2019DM27
50 people are to be divided (partitioned) into 5 teams of 10 players each. In how many ways can this be done if each team has a different name A. B. C. D. None
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Oct 28
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15
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gb2019dm2
discretemathematics
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0
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10
GATEBOOK2019DM220
How many ways a set of 5 elements can be divided into two unordered partitions where each partition gets atleast one element ?
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Oct 28
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13
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gb2019dm2
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0
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11
GATEBOOK2019DM217
How many bit strings of length 5 are there, such that every 1 is followed immediately by a zero?
asked
Oct 28
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11
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gb2019dm2
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12
GATEBOOK2019DM219
A pool of available computer programmers has 13 members–six men and seven women In how many ways can you choose a team of five, with at most three men?
asked
Oct 28
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Combinatory
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gb2019dm2
discretemathematics
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13
GATEBOOK2019DM215
A landscaper is planting a row of 12 trees including 4 birch trees and 8 pine trees. How many ways can this be done without having two birch trees next to each other? A. B. C. D.
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Oct 28
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10
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gb2019dm2
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14
GATEBOOK2019DM210
How many license plates with 3 decimal digits followed by 3 letters do not contain both the number 0 and the letter O? A. 17047279 B. 14074279 C. 17074279 D. 12436759
asked
Oct 28
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Combinatory
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9
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gb2019dm2
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15
GATEBOOK2019DM212
How many different even integers ≥ 4000 and < 7000 have four different digits? A. 128 B. 728 C. 328 D. 528
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Oct 28
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gb2019dm2
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16
GATEBOOK2019DM214
An integer is called snakelike if its decimal representation satisfies if is odd and if is even. How many snakelike integers between 1000 and 9999 have four distinct digits?
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Oct 28
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Combinatory
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gb2019dm2
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17
GATEBOOK2019DM218
How many numbers (minimum) must you pick to ensure that at least three of them have the same remainder when divided by 11 ?
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Oct 28
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Combinatory
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gb2019dm2
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18
GATEBOOK2019DM213
How many ways are there to seat 10 people, consisting of 5 couples, in a row of seats (10 seats wide) if all couples are to get adjacent seats?
asked
Oct 28
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Combinatory
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GATEBOOK
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8
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gb2019dm2
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19
GATEBOOK2019DM29
How many bit strings of length 6 have more zeroes than ones?
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Oct 28
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Combinatory
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GATEBOOK
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5
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gb2019dm2
discretemathematics
0
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20
GATEBOOK2019DM211
A decimal number is called “increasing” if each digit is greater than the previous one (e.g. 24589 is one). How many 5 digit increasing numbers are there?
asked
Oct 28
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Combinatory
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GATEBOOK
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5
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gb2019dm2
discretemathematics
permutationsandcombinations
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