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Recent questions tagged combinatory

1 votes
1 answer
121
#Combinatorics #Self doubt
How many 3 digits number are there which are divisible by 3 and repetition of digits NOT allowed.?
How many 3 digits number are there which are divisible by 3 and repetition of digits NOT allowed.?
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7 votes
4 answers
122
GATE CSE 2023 | Question: 5
The Lucas sequence $L_{n}$ is defined by the recurrence relation: \[ L_{n}=L_{n-1}+L_{n-2}, \quad \text { for } \quad n \geq 3, \] with $L_{1}=1$ and $L_{2}=3$ ... $L_{n}=\left(\frac{1+\sqrt{5}}{2}\right)^{n}-\left(\frac{1-\sqrt{5}}{2}\right)^{n}$
The Lucas sequence $L_{n}$ is defined by the recurrence relation:\[L_{n}=L_{n-1}+L_{n-2}, \quad \text { for } \quad n \geq 3,\]with $L_{1}=1$ and $L_{2}=3$.Which one of t...
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0 votes
0 answers
128
Unacademy AIMT 1
How many integers are there in the set {1,2,3,…..,1000} with no digit being repeated?
How many integers are there in the set {1,2,3,…..,1000} with no digit being repeated?
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0 votes
1 answer
129
Number Of Substrings | Made Easy Test Series
The number of subwords for w=’SCALABLE” is equal to: 34 35 37
The number of subwords for w=’SCALABLE” is equal to:343537
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1 votes
0 answers
130
DRDO CSE 2022 Paper 1 | Question: 14
Derangements are permutations $\pi$ of the set $\{1,2, \ldots, n\}$ such that $\pi(i) \neq i.$ Compute the number of derangements on the set $1,2, \ldots, n$.
Derangements are permutations $\pi$ of the set $\{1,2, \ldots, n\}$ such that $\pi(i) \neq i.$ Compute the number of derangements on the set $1,2, \ldots, n$.
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1 votes
1 answer
131
DRDO CSE 2022 Paper 1 | Question: 15
What is the generating function corresponding to Fibonacci series. \[F_{n}=F_{n-1}+F_{n-2} .\] Note that $F_{0}=F_{1}=1$.
What is the generating function corresponding to Fibonacci series.\[F_{n}=F_{n-1}+F_{n-2} .\]Note that $F_{0}=F_{1}=1$.
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1 votes
0 answers
132
DRDO CSE 2022 Paper 1 | Question: 16
Let us say we have a supply of $1$ rupee and $2$ rupee coins in large quantities. What is the generating function for the number of ways of giving change with $1$ rupee and $2$ rupee coins.
Let us say we have a supply of $1$ rupee and $2$ rupee coins in large quantities. What is the generating function for the number of ways of giving change with $1$ rupee a...
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2 votes
1 answer
133
DRDO CSE 2022 Paper 1 | Question: 18
A gardener wants to buy $3$ neem plants, $5$ rose plants and $1$ banyan plant from a nursery having $7$ neem, $10$ rose and $6$ banyan plants. How many choices does a gardener have?
A gardener wants to buy $3$ neem plants, $5$ rose plants and $1$ banyan plant from a nursery having $7$ neem, $10$ rose and $6$ banyan plants. How many choices does a gar...
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1 votes
1 answer
134
DRDO CSE 2022 Paper 1 | Question: 19
How many seven digit numbers are possible with exactly four $4 \mathrm{s}?$
How many seven digit numbers are possible with exactly four $4 \mathrm{s}?$
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0 votes
1 answer
135
Random
Consider a 15 element min-heap which follows these conditions. right child of root is7 and one child of node 3 is 9. Calculate how many min heap possible?
Consider a 15 element min-heap which follows these conditions.right child of root is7 and one child of node 3 is 9. Calculate how many min heap possible?
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