Permutation and Combination

Practice Pipes and Cistern – There were 6 boys and 6 girls. how many ways they can be arranged in a pair.

Practice Permutation and Combination – Suppose you have a currency, named Miso, in three denominations: 1 Miso, 10 Misos and 50 Misos. In how many ways can you pay a bill of 107 Misos?

Practice Permutation and Combination – If (5^{10x}=4,900 and 2^sqrt{v}=25.) what is the vale of (frac{5^{(x-1)^5}}{4-sqrt{y}})?

Practice Permutation and Combination – A Coach is filling out the starting lineup for his indoor soccer team. There are 10 boys on the team, and he must assign 6 starters to the following positions: 1 goalkeeper, 2 on defence, 2 in midfield, and 1 forward. Only 2 of the boys can play goalkeeper, and they cannot play any other positions. The other boys can each play any of the other positions. How many different groupings are possible?

Practice Permutation and Combination – A box contains 20 tickets of identical appearance, the tickets being numbered 1, 2, 3, ….., 20. In how many ways can 3 tickets be chosen such that the numbers on the drawn tickets are in arithmetic progression ?

Practice Permutation and Combination – Let A be containing 10 distinct elements ,then the total number of distinct functions from A to A is

Practice Permutation and Combination – In how many ways a committee, consisting of 4 men and 10 women can be formed from 6 men and 10 women?

Practice Permutation and Combination – The number of possible selections of one or more questions from 8 given questions, each question having an alternative, is

Practice Permutation and Combination – 3 books of mathematics and 5 books of physics are placed on a shelf so that the books on the same subject always remain together .The possible arrangements are

Practice Permutation and Combination – Out of 7 consonants and four vowels ,how many words of three consonants and 2 vowels can be formed?

Practice Permutation and Combination – At an election there are five candidates and three members to be elected , and a voter may vote for any number of candidates not greater than the number to be elected. Then the number of ways in which a voter may vote is

Practice Permutation and Combination – The sides AB, BC, CA of a triangle ABC have 3,4 and 5 interior points respectively on them. The total number of triangles that can be constructed by using these points as vertices is

Practice Permutation and Combination – A lady gives dinner party to five guests to be selected from 9 friends .The number of ways of forming the party of 5,given that two of the friends will not attend the party together is

Practice Permutation and Combination – Ram buys 7 novels from a book fair. Shyam buys 8 novels from the fair, none of which is common with those bought by Ram. They decide to exchange their books one for one. In how many ways can they exchange their books for the first time ?

Practice Permutation and Combination – A teacher was trying to form the groups of students in such a way that every group has equal number of students and that number should be a prime number. She tried for first 5 prime numbers, but on each occasion exactly one student was left behind.