Factorial, Permutations, Combinations

Front

What is a factorial?

Back

A factorial, denoted as n!, is the product of all positive integers from 1 to n. For example, 5! = 5 × 4 × 3 × 2 × 1 = 120.

Front

How do you calculate permutations?

Back

Permutations are calculated using the formula nPr = n! / (n - r)!, where n is the total number of items, and r is the number of items to choose.

Front

What is the difference between permutations and combinations?

Back

Permutations consider the order of selection, while combinations do not. For example, choosing 2 letters from A, B, C: AB (permutation) is different from BA, but both are the same combination.

Front

How many distinguishable permutations are there for the word 'BANANA'?

Back

There are 60 distinguishable permutations for the letters of the word 'BANANA'.

Front

What is the formula for combinations?

Back

The formula for combinations is nCr = n! / [r!(n - r)!], where n is the total number of items, and r is the number of items to choose.

Front

How many ways can you choose 4 books from 11 books?

Back

There are 330 ways to choose 4 books from a collection of 11 books.

Front

What is the value of 8 * 6!?

Back

The value of 8 * 6! is 5,760.

Front

How many distinguishable anagrams can be formed from the word 'MATHEMATICS'?

Back

There are 4,989,600 distinguishable anagrams of the word 'MATHEMATICS'.

Front

What is a combination?

Back

A combination is a selection of items from a larger set where the order does not matter.

Front

What does n! represent in mathematics?

Back

n! (n factorial) represents the product of all positive integers up to n.