help with math 11 principles

The fundamental principle of counting (F.P.C) states that if an operation can be performed in m different ways and if for each such choice, another operation can be performed in n different ways, then both operations, in succession can be performed in exactly mn different ways. The ..

The same principle can be generalized to three or more events occurring in succession as follows: If n operations can be performed in m 1 ,m 2 ,m 3 ,...m n ways respectively, then all n operations in succession can be performed exactly in m 1 ,m 2 ,m 3 ,...m n ways. The above prin..

Fundamental Principle of Counting - Suppose two events E 1 and E 2 are to be performed in sequence, then if E 1 can be performed in 'm' ways and for each of these ways E 2 can be performed in 'n' ways, then the sequence E 1 E 2 can be performed in 'mn' different ways. This is known as the..

Suppose two events E 1 and E 2 are to be performed in sequence, then if E 1 can be performed in 'm' ways and for each of these ways E 2 can be performed in 'n' ways, then the sequence E 1 E 2 can be performed in 'mn' different ways. This is known as the Fundamental Principle of..

Question 1 - Question: From a class of 32 students, 4 are to be chosen for a competition. In how many ways can this be done? Answer: We are to select 4 students from 32. This selection can done ..

Conclusion - 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..

Number of ways of filling hundred's place = 2 Number of ways of filling ten's place = 2 Number of ways of filling unit's place = 2 By the fundamental principle of counting, the total number of numbers = 2 x 2 x 2 =..

Question: Answer: ..