Table of Contents
- 1 How many combinations are possible with ABCD?
- 2 How many combinations of 4 names are there?
- 3 How many combinations of students are possible if the group is to consist of exactly 3 freshmen and 3 sophomores?
- 4 How many permutations of the letters are there?
- 5 What is the formula for combinations in math?
How many combinations are possible with ABCD?
Total possible arrangement of letters a b c d is 24.
How many combinations of 4 names are there?
With Repetition: As all the combinations are possible, each of the 4 places can have 26 choices, so it would be 26*26*26*26 = 456,976 possible combinations of words. First place shall have 26 choices, as repetition is not allowed, 2nd place shall have one less i.e 25 choices, third will have 24 and fourth will have 23.
How many combinations of students are possible if the group is to consist of exactly 3 freshmen and 3 sophomores?
Required number of ways = (120 x 6) = 720. Q10) How many combinations of students are possible if the group is to consist of exactly 3 freshmen? groups of 3 of the 15 students from the other classes. 5C3×15C3=4,550.
What is the total number of combinations of three letters?
You can make three independent choices, one for each of the three letters. For each choice you have 26 options (the letters in the alphabet). So the total number of combinations is. $$ 26 \\cdot 26 \\cdot 26 = 26^3 = 17576.
How many combinations can a combination generator find?
Full details here! This combination generator will quickly find and list all possible combinations of up to 7 letters or numbers, or a combination of letters and numbers. Plus, you can even choose to have the result set sorted in ascending or descending order.
How many permutations of the letters are there?
For example, there are 6 permutations of the letters a, b, c: abc, acb, bac, bca, cab, cba. a b c, a c b, b a c, b c a, c a b, c b a. We know that we have them all listed above —there are 3 choices for which letter we put first, then 2 choices for which letter comes next, which leaves only 1 choice for the last letter.
What is the formula for combinations in math?
The formula for combinations is: nCr = n!/ [r! (n-r)!] What are the real-life examples of permutations and combinations? Arranging people, digits, numbers, alphabets, letters, and colours are examples of permutations.