A planning committee for a major development project must consist six members. There are eight architects and five engineers available to choose from. In how many different ways can this planning committee be formed (rounded off to zero decimals)? [2] Question 2 In how many ways can a planning committee be chosen with at least three engineers (rounded off to zero decimals)? There is at leas
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
A planning committee for a major development project must consist six members. There are eight architects and five engineers available to choose from.
In how many different ways can this planning committee be formed (rounded off to zero decimals)? [2]
Question 2
In how many ways can a planning committee be chosen with at least three engineers (rounded off to zero
decimals)? There is at least one architect and one engineer on the planning committee. [4]
Question 3
What is the probability of having a planning committee with at least three engineers (rounded off to three
decimals)?
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