Recent questions tagged goclasses-cs-dpp-day-31

Let the sequence $\left\{a_n\right\}$ be defined by:$$a_0=1, \quad a_1=6, \quad \text { and } \quad a_{n+1}=6 a_n-9 a_{n-1} \text { for } n \geq 1 .$$Which of the followi...

The number of 6 -letter words, with or without meaning, that can be formed using the letters of the word MATHS such that any letter that appears in the word must appear a...

Compute the number of all possible rearrangements of the following sequence of letters$$A A A B B B C C C$$such that no three identical consecutive letters exist (that is...

Q1. Let $A$ be a subset of $n+1$ numbers chosen from the set $\{1,2,3, \ldots, 2 n\}$, where $n$ is a natural number. Which of the following must be true?All elements in ...

The number of sequences of ten terms, whose terms are either 0 or 1 or 2 , that contain exactly five 1 s and exactly three 2 s , is equal to:$360$ $2520$ $1820$ $45$