Permutations an...

The number of different ways in which a man can invite one or more of his 6 friends to dinner is?

A lady arranges a dinner party for 6 guests .The number of ways in which they may be selected from among 10 friends if 2 of the friends will not attend the party together is

In how many ways can a mixed doubles tennis game be arranged from a group of 10 players consisting of 6 men and 4 women

The number of significant numbers which can be formed by using any number of the digits 0, 1, 2, 3, 4 but using each not more than once in each number is

Numbers greater than 1000 but not greater than 5000 are to be formed with the digits 0, 1, 2, 3, 5, allowing repetitions, the number of possible numbers is

The number of all three digit even numbers such that if 5 is one of the digits then next digit is 7 is

A coin is tossed n times, the number of all the possible outcomes is

The figures 4, 5, 6, 7, 8 are written in every possible order. The number of numbers greater than 56000 is