Recent questions tagged counting

How many positive integers between $100$ and $999$ inclusiveare divisible by $7?$are odd?have the same three decimal digits?are not divisible by $4?$are divisible by $3$ ...

How many positive integers less than $1000$are divisible by $7?$are divisible by $7$ but not by $11?$ are divisible by both $7$ and $11?$ are divisible by either $7$ or $...

How many positive integers between $5$ and $31$ are divisible by $3?$ Which integers are these?are divisible by $4?$ Which integers are these?are divisible by $3$ and by ...

How many $6$-element RNA sequencesdo not contain U?end with GU?start with C?contain only A or U?

How many $5$-element DNA sequencesend with A?start with T and end with G?contain only A and T?do not contain C?

How many strings of five ASCII characters contain the character @ (“at” sign) at least once? [Note: There are $128$ different ASCII characters.

How many strings are there of four lowercase letters that have the letter $x$ in them?

How many strings are there of lowercase letters of length four or less, not counting the empty string?

. How many bit strings of length $n,$ where n is a positive integer, start and end with $1s?$

How many bit strings with length not exceeding $n,$ where $n$ is a positive integer, consist entirely of $1s,$ not counting the empty string?

How many bit strings of length ten both begin and end with a $1?$

How many bit strings are there of length eight?

How many different three-letter initials with none of the letters repeated can people have?

How many different three-letter initials can people have?

There are four major auto routes from Boston to Detroit and six from Detroit to Los Angeles. How many major auto routes are there from Boston to Los Angeles via Detroit?

Six different airlines fly from New York to Denver and seven fly from Denver to San Francisco. How many different pairs of airlines can you choose on which to book a trip...

A particular brand of shirt comes in $12$ colors, has a male version and a female version, and comes in three sizes for each sex. How many different types of this shirt a...

A multiple-choice test contains $10$ questions. There are four possible answers for each question.In how many ways can a student answer the questions on the test if the s...

An office building contains $27$ floors and has $37$ offices on each floor. How many offices are in the building?

There are $18$ mathematics majors and $325$ computer science majors at a college.In how many ways can two representatives be picked so that one is a mathematics major and...

The number of edges in a complete graph with $N$ vertices is equal to :$N (N−1)$$2N−1$$N−1$$N(N−1)/2$

For a complete graph with $N$ vertices, the total number of spanning trees is given by:$2N-1$$N^{N-1}$$N^{N-2}$$2N+1$

Minimum number of individual shoes to be picked up from a dark room ( containing $10$ pair of shoes) if we have to get atleast one proper pair :$2$$20$$11$None of these

for(int i=0; i<=100;i++) { if (i % 3 == 0) printf("Great); if(i%5 == 0) printf("India"); }Count the number of times GreatIndia is printed.62033none of these