A coin is tossed 3 times and the outcomes are recorded. How many possible outcomes are there?

Given 5 flags of different colours, how many different signals can be generated if each signal requires the use of 2 flags, one below the other?

Evaluate (i) 8!

Is 4! + 3! = 7!?

Compute 8!/6!×2!

If 1/6!+1/7!=x/8! , find x.

Evaluate n!/(n - r)!

(i) n = 6, r = 2 (ii) n = 9, r = 5

How many 3-digit numbers can be formed by using the digits 1 to 9 if no digits is repeated?

How many 4-digit numbers are there with no digit repeated?

How many 3-digit even numbers can be made using the digits 1, 2, 3, 4, 6, 7, if no digit is repeated?

Find the number of 4-digit numbers that can be formed using the digits 1, 2, 3, 4, 5 if no digit is repeated. How many of these will be even?