Find the total number of outcomes when 5 coins are tossed once.

Find the value of 5!

Find the value of \(\frac { 8! }{ 5!\times 2! } \).

Evaluate \(\frac { n! }{ r!(n-r)! } \) when n = 7, r = 5.

If \(\frac { 6! }{ n! } \) = 6, then find the value of n.

Evaluate the following: ¹⁰C₃

Evaluate the following: ¹⁰⁰C₉₉

A Mathematics club has 15 members. In that 8 are girls. 6 of the members are to be selected for a competition and half of them should be girls. How many ways of these selections are possible?

Suppose one girl or one boy has to be selected for a competition from a class comprising 17 boys and 29 girls. In how many different ways can this selection be made?

Consider the 3 cities Chennai, Trichy and Tirunelveli. In order to reach Tirunelveli from Chennai, one has to pass through Trichy. There are 2 roads connecting Chennai with Trichy and there are 3 roads connecting Trichy with Tirunelveli. What are the total number of ways of travelling from Chennai to Tirunelveli?