Contents

- 1 How many different ways can 4 math books and 5 other books be arranged on a shelf if the math books are kept together?
- 2 How many ways can mathematics be arranged?
- 3 How many ways can five distinct paperback books and one hardcover book be arranged on a shelf if the hardcover must be the rightmost book on the shelf?
- 4 How many ways can 4 books be arranged on a shelf?
- 5 How many ways can 5 books be arranged on a shelf if 2 of the books must remain together?
- 6 How many ways can 9 books be arranged on a shelf?
- 7 How many ways can 5 letters be arranged?
- 8 How many vowels are in mathematics?
- 9 How many ways can parallel be arranged?
- 10 How many ways can 9 things be arranged?
- 11 How many ways can 12 books be arranged 3 at a time?
- 12 How many ways can you arrange 10 books?
- 13 How many ways can you arrange 4 things?
- 14 How many 4 book selections are there?
- 15 How many ways can 12 swimmers finish in first second and third place?

## How many different ways can 4 math books and 5 other books be arranged on a shelf if the math books are kept together?

For the 5 math books: 5 ∗ 4 ∗3∗2∗1= 5! ways to arrange them, or 120. For the 4 novels: 4 ∗3∗2∗1= 4!$ ways to arrange them, or 24.

## How many ways can mathematics be arranged?

Therefore, the letters in “mathematics” can be arranged in 4,989,600 ways.

## How many ways can five distinct paperback books and one hardcover book be arranged on a shelf if the hardcover must be the rightmost book on the shelf?

giving 5 ×4×3×2× 1 =120 choices for arranging the books (from left to right).

## How many ways can 4 books be arranged on a shelf?

There are 24 ways to arrange the 4 items on a bookshelf.

## How many ways can 5 books be arranged on a shelf if 2 of the books must remain together?

That’s 5! So, there are 120 ways to arrange five books on a bookshelf.

## How many ways can 9 books be arranged on a shelf?

So for each of the possible 40320 ways to arrange the other 8 books, there are 2 possible acceptable arrangements of 9 books.

## How many ways can 5 letters be arranged?

60 is the number of ways to arrange 5 letters (alphabets) word “PEACE” by using Permutations (nPr) formula.

## How many vowels are in mathematics?

Answer. As u know vowel letters are A, E, I, O, U and Your word is MATHEMATICS so A, E, A, and I are vowels and total there is 4 vowels indeed..

## How many ways can parallel be arranged?

PARALLEL has 8 letters with one letter appearing 3 times and 1 letter appearing 2 times. The letters can be arranged in 8!/(3!* 2!) = 3360 ways.

## How many ways can 9 things be arranged?

362880 is the number of ways to arrange 9 letters (alphabets) word “FRACTIONS” by using Permutations (nPr) formula.

## How many ways can 12 books be arranged 3 at a time?

1a) In how many ways can 12 different books be distributed among 3 persons? Solution: There are 3 choices for each of 12 books. The answer is 312.

## How many ways can you arrange 10 books?

arranged in ^{9}P _{2} ways. ∴ hence the total number of arrangements = 8! x ^{9}P _{2} ways.

## How many ways can you arrange 4 things?

But many of those are the same to us now, because we don’t care what order! So, the permutations have 6 times as many possibilites. (Another example: 4 things can be placed in 4! = 4 × 3 × 2 × 1 = 24 different ways, try it for yourself!)

## How many 4 book selections are there?

Answer: Since there are 10 different books out of which 4 is to be selected.

## How many ways can 12 swimmers finish in first second and third place?

Only one person can win first, second and third place. The total number of placers is 12 times 11 times 10.