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Recent questions tagged permutation-combination

1 votes
1 answer
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CAT 2021 Set-3 | Quantitative Aptitude | Question: 13
A four-digit number is formed by using only the digits $1, 2$ and $3$ such that both $2$ and $3$ appear at least once. The number of all such four-digit numbers is
A four-digit number is formed by using only the digits $1, 2$ and $3$ such that both $2$ and $3$ appear at least once. The number of all such four-digit numbers is
1 votes
1 answer
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CAT 2021 Set-2 | Quantitative Aptitude | Question: 4
The number of ways of distributing $15$ identical balloons, $6$ identical pencils and $3$ identical erasers among $3$ children, such that each child gets at least four balloons and one pencil, is
The number of ways of distributing $15$ identical balloons, $6$ identical pencils and $3$ identical erasers among $3$ children, such that each child gets at least four ba...
2 votes
1 answer
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CAT 2020 Set-2 | Question: 65
How many $4$-digit numbers, each greater than $1000$ and each having all four digits distinct, are there with $7$ coming before $3.$
How many $4$-digit numbers, each greater than $1000$ and each having all four digits distinct, are there with $7$ coming before $3.$
1 votes
1 answer
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CAT 2020 Set-1 | Question: 51
How many $3-$digit numbers are there, for which the product of their digits is more than $2$ but less than $7$?
How many $3-$digit numbers are there, for which the product of their digits is more than $2$ but less than $7$?
0 votes
2 answers
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NIELIT 2017 DEC Scientific Assistant A - Section A: 31
In how many different ways can the letters of the word ‘MATHEMATICS’ be arranged so that the vowels always come together? $10080$ $4989600$ $120960$ None of the options
In how many different ways can the letters of the word ‘MATHEMATICS’ be arranged so that the vowels always come together?$10080$$4989600$$120960$None of the options
0 votes
1 answer
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NIELIT 2017 July Scientist B - Section A: 1
What is the maximum number of the handshakes that can happen in the room with $5$ people in it? $15$ $10$ $6$ $5$
What is the maximum number of the handshakes that can happen in the room with $5$ people in it?$15$$10$$6$$5$
0 votes
1 answer
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NIELIT 2017 July Scientist B - Section A: 8
In how many different ways can the letters of the word ‘CORPORATION’ be arranged so that the vowels always come together? $810$ $1440$ $2880$ $50400$
In how many different ways can the letters of the word ‘CORPORATION’ be arranged so that the vowels always come together?$810$$1440$$2880$$50400$
2 votes
1 answer
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CAT 2018 Set-1 | Question: 91
How many numbers with two or more digits can be formed with the digits $1,2,3,4,5,6,7,8,9$, so that in every such number, each digit is used at most once and the digits appear in the ascending order?
How many numbers with two or more digits can be formed with the digits $1,2,3,4,5,6,7,8,9$, so that in every such number, each digit is used at most once and the digits a...
0 votes
0 answers
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CAT 2017 Set-2 | Question: 96
How many four digits number, which are divisible by $6$ , can be formed using the digits $0,2,3,4,6$ such that no digit is used more than once and $0$ does not occur in the left-most positions? $49$ $48$ $50$ $52$
How many four digits number, which are divisible by $6$ , can be formed using the digits $0,2,3,4,6$ such that no digit is used more than once and $0$ does not occur in t...
2 votes
1 answer
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CAT 2017 Set-2 | Question: 95
In how many ways can $8$ identical pens be distributed among Amal, Bimal, Kamal so that Amal gets at least $1$ pen, Bimal gets a least $2$ pens, and Kamal gets a least $3$ pens? $5$ $6$ $7$ $8$
In how many ways can $8$ identical pens be distributed among Amal, Bimal, Kamal so that Amal gets at least $1$ pen, Bimal gets a least $2$ pens, and Kamal gets a least $3...
1 votes
1 answer
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CAT 2017 Set-1 | Question: 98
In how many ways can $7$ identical erasers be distributed among $4$ kids in such a way that each kid gets at least one eraser but nobody gets more than $3$ erasers? $16$ $20$ $14$ $15$
In how many ways can $7$ identical erasers be distributed among $4$ kids in such a way that each kid gets at least one eraser but nobody gets more than $3$ erasers? $16$$...
1 votes
1 answer
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CAT 2016 | Question: 91
A man has $9$ friends: $4$ boys and $5$ girls. In how many ways can he invite them, if there have to be exactly $3$ girls in the invitees ________
A man has $9$ friends: $4$ boys and $5$ girls. In how many ways can he invite them, if there have to be exactly $3$ girls in the invitees ________
0 votes
0 answers
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CAT 2000 | Question: 67
What is the number of distinct triangles with integral valued sides and perimeter $14? $ $6$ $5$ $4$ $3$
What is the number of distinct triangles with integral valued sides and perimeter $14? $$6$$5$$4$$3$
1 votes
2 answers
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CAT 2000 | Question: 63
One red flag, three white flags and two blue flags are arranged in a line such that, no two adjacent flags are of the same colour. the flags at the two ends of the line are of different colours. In how many different ways can the flags be arranged? $6$ $4$ $10$ $2$
One red flag, three white flags and two blue flags are arranged in a line such that,no two adjacent flags are of the same colour.the flags at the two ends of the line are...
0 votes
0 answers
36
CAT 2002 | Question: 86
In how many ways, we can choose a black and a white square on a chess board such that the two are not in the same row or column? $32$ $96$ $24$ None of these
In how many ways, we can choose a black and a white square on a chess board such that the two are not in the same row or column?$32$$96$$24$None of these
0 votes
0 answers
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CAT 2002 | Question: 85
How many numbers between $0$ and one million can be formed using $0, 7$ and $8?$ $486$ $1086$ $728$ None of these
How many numbers between $0$ and one million can be formed using $0, 7$ and $8?$$486$$1086$$728$None of these
0 votes
0 answers
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CAT 2003 | Question: 1-134
How many three digit positive integers, with digits $x, y$ and $z$ in the hundred's, ten's and unit's place respectively, exist such that $x < y, z < y$ and $x \neq 0?$ $245$ $285$ $240$ $320$
How many three digit positive integers, with digits $x, y$ and $z$ in the hundred's, ten's and unit's place respectively, exist such that $x < y, z < y$ and $x \neq 0?$$2...
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