Find the number of ways for the letter of the word AUDIT to be arranged in a row so that the consonants are placed adjacent to each other.

Find the number of ways for the letter of the word AUDIT to be arranged in a row so that the consonants are placed adjacent to each other.

from the four groups formed men should be majority in each group

security codes are made of 3 letters followed by four single digit numbers. How many different 7 character security codes can be made if none of the letters can repeat and the first digit must be...

The burger shop offers cheese, lettuce, tomato, and pickles. Assuming that you are not concerned about where the toppings are, how many different ways can you order?

use 0 to 9 digits

The drama teacher at your high school is holding auditions for a small play with only 5 roles. If ten people try out, how many different ways can the roles be assigned?

Question 1: How many words can you make from the letters Texas if repeats are not allowed? Question 2: How many words can you make from the letters Texas if repeats are allowed? Question 3:...

Is the answer 26*26*26*10*10*10 to signify that there must be exactly 3 letters and exactly 3 numbers? Would this equation work similarly if the order of the letters and numbers did not matter (ex:...

on the sides AB,BC,CA of triangle ABC 3,4,5 that can be construed using these points as vertices are

on the sides AB,BC,CA of triangle ABC 3,4,5 distinct points are respectively chosen the number of triangle that can be construed using these points as vertices are. by using permutations and comb...

This is a permutation problem

so confused !!

I got 32,736 and it was marked wrong...

It's a permutation

There are 24 popsicles in a cooler. Ten are grape. Six are orange. Eight are cherry. If you grab 3 popsicles from the cooler, what is the probability they will be: a) All grape b)...

There are 10 puppies. 6 are male, 4 are female. If you pick 3 puppies at random, what is the probability they will all be the same gender?

1. Suppose there are 6 horses running in a race. How many different outcomes (orderings from first to sixth place) are possible? Ignore the possibility of ties. 2. In a Lotto game, a player...

Amina and Bert alternate turns tossing a fair coin. Amina goes first and each player takes three turns. The first player to toss a tail wins. If neither Amina nor Bert tosses a tail, neither wins...

A professor grades homework by randomly checking 9 of the 25 problems assigned. In how many different ways can this be done? How many words can be formed from the letters of the word...

9 different books are to be arranged on a book-shelf. 4 of these books were written by Shakespeare, 2 by Dickens and 3 by Conrad. How many possible permutations are there if (a) the...

Permutations and combinations