math times tables

The different arrangements that can be made with a given number of things taking some or all of them at a time are called permutations. The symbol n P r or P(n,r) is used to denote the number of permutations of n things taken r at a time..

Permutations - The different arrangements that can be made with a given number of things taking some or all of them at a time are called permutations. The symbol n P r or P(n,r) is used to denote the number of permutations of n things taken r at a time..

1. Three boys and three girls are to be seated around a table in a circle. Among them, the boy X does not want any girl as neighbour and girl Y does not want any boy as neighbour. How many such arrangements are possibl..

In how many different arrangements can 6 gentlemen and 6 ladies sit around a table if i) there is no restriction and ii) no two ladies sit side by sid..

The different arrangements that can be made with a given number of things taking some or all of them at a time are called permutations. The symbol n P r or P(n,r) is used to denote the number of permutations of n things taken r at a time..

The number of combinations of n dissimilar things, taken r at a time is..

The selection of a number of things taking some or all of them at a time are called combinations. The number of ways of selecting r things out of n dissimilar things is denoted by C(n, r) or n C ..

Combinations - The selection of a number of things taking some or all of them at a time are called combinations. The number of ways of selecting r things out of n dissimilar things is denoted by C(n, r) or n C ..

i) Here, the total number = 6 + 6 = 12. 12 persons can be arranged in circular permutation as (12 - 1)! = 11! ways. ii) When 6 gentlemen are arranged around a table, there are 6 positions, each being between two gentlemen for 6 ladies, when no two ladies sit side by side. Now, the number..

Question: Ten different letters of an alphabet are given. Words with five letters are formed from these given letters. Find the number of words which have atleast one letter repeated. Answer: Total number of 5 letter words from given 10 letters = 10 5 (if every letter may be repeated a..