Combination formula | Probability and combinatorics | Probability and Statistics | Arya Anjum
Combination formula | Probability and combinatorics | Probability and Statistics | Arya Anjum
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EXERCISE 1.3
A boy puts his hand into a bag which contains 10 differently coloured marbles and brings
out 3.How many different results are possible?
Find the number of ways in which a student can select 5 courses out of 8 courses. If 3
courses are compulsory,in how many ways can the selections be made?
From 10 persons, in how many ways can a selection of 4 be made
i)
when one particular person is always included?
i) when two particular persons are always excluded?
A bag contains 8white balls and 5 blue balls.In how many ways can 5 white balls and 3
blue balls be drawn?
How many committees can be formed from a set of 7 boys and 5 girls if each committee
contains4 boys and 3 girls?
From a group of 11 men and 8 women,how many committees consisting of 3 men and 2
women are possible?
From 4 mathematicians,6 statisticians and 5 economists,how many commjttees of 6
members can be formed so as to include 2 members from each category?
A person has got 12 acquaintances of whom 8 are relatives.In how many ways can he
invite 7 guests so that 5 of them may be relatives?
There are ten electric bulbs in the stock of a shop out of which there are three defectives.In howmany ways can a selection of, 10 þulbs bg made so that 4 of them may be good bulbs?
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