math combinations problems

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 ..

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 r..

Permutations and Combinations..

Question 1 - Question: Answer: As n represents all positive integers, we have Multiplying the above terms of both sides respectively, we get Multiplying both sides of inequality by n!, we g..

i. In a combination, only selection is made. In a permutation, not only a selection is made, but also there is an arrangement of a definite order. ii. There is no order of selection in combinations. In permutation, order is a must. iii. Usually (i.e., except in special cases or..

, then the number of circular permutations is The selections (groups) of a number of things taking some or all of them at a time are called combinations. The total number of combinations of n distinct things taking r(1 r n) at a time is denoted by n C r or by C(n, r). In particu..

Arrangement and selection of objects are the central ideas of this chapter on permutations and combinations. They are widely applied in solving problems of probability, genetic engineering and life scienc..

In this chapter, we have learnt the application of permutations and combinations, the fundamental counting principle and relation between n C r and n P r..

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

Question: Given five different green dyes, four different blue dyes and three different red dyes, how many combinations of dyes can be chosen taking atleast one green and one blue dye? Answer: The least number of dyes that a combination can have is 2. (one blue and o..