Permutations and Combinations Practice Questions - Level 2

How many even numbers of four digits can be formed with the digits 1, 2, 3, 4, 5, 6 (repetitions of digits are allowed)?

How many 4 digit numbers divisible by 5 can be formed with the digits 0, 1, 2, 3, 4, 5, 6 and 6?

There are 6 pups and 4 cats. In how many ways can they be seated in a row so that no cats sit together?

How many new words can be formed with the word MANAGEMENT all ending in G?

Find the total numbers of 9-digit numbers that can be formed all having different digits.

There are $V$ lines parallel to the $x$-axis and '$W$' lines parallel to $y$-axis. How many rectangles can be formed with the intersection of these lines?

From 4 gentlemen and 4 ladies a committee of 5 is to be formed. Find the number of ways of doing so if the committee consists of a president, a vice-president and three secretaries?

In the above question, what will be the number of ways of selecting the committee with at least 3 women such that at least one woman holds the post of either a president or a vice-president?

Find the number of ways of selecting the committee with a maximum of 2 women and having at the maximum one woman holding one of the two posts on the committee.

The crew of an 8 member rowing team is to be chosen from 12 men, of which 3 must row on one side only and 2 must row on the other side only. Find the number of ways of arranging the crew with 4 members on each side.