Permutation and Combination

Front

What is a permutation?

Back

A permutation is an arrangement of objects in a specific order. The order matters in permutations.

Front

What is a combination?

Back

A combination is a selection of objects where the order does not matter.

Front

How many 2-digit numbers can be formed using the digits 1, 2, 3, & 4 without repeating digits?

Back

12

Front

What is the formula for permutations of n objects taken r at a time?

Back

The formula is P(n, r) = n! / (n - r)!.

Front

What is the formula for combinations of n objects taken r at a time?

Back

The formula is C(n, r) = n! / [r!(n - r)!].

Front

If you have 4 framed portraits, how many ways can you arrange them?

Back

24 (This is a permutation problem: 4! = 24).

Front

In how many different orders can 8 glasses of water be arranged?

Back

8! (Factorial of 8).

Front

What is the difference between permutation and combination?

Back

Permutation considers the order of selection, while combination does not.

Front

How many different words can be formed with the letters of the word 'CHAIR'?

Back

120 (5! = 120).

Front

What does 'n!' represent in mathematics?

Back

'n!' represents the factorial of n, which is the product of all positive integers up to n.