Category : 3rd Class
Possible Combinations
Days and dates
EXAMPLE
1. How many possible combinations of one boy and one girl can be formed from 3 boys and 6 girls?
(a) 18 (b) 12 (c) 15 (d) 24
Explanation (a):
There are 3 boys and 6 girls: \[{{B}_{1}},\text{ }{{B}_{2}},\text{ }{{B}_{3}}\] and \[{{G}_{1}},{{G}_{2}},{{G}_{3}},{{G}_{4}},{{G}_{5}},{{G}_{6}}.\]
Possible Combinations: (\[{{B}_{1}}{{G}_{1}},\text{ }{{B}_{1}}{{G}_{2}},\text{ }{{B}_{1}}{{G}_{3}},\,\,{{B}_{1}}{{G}_{4}},\,\,{{B}_{4}}{{G}_{5}},\,\,{{B}_{1}}{{G}_{6}},\,\,{{B}_{2}}{{G}_{1}},\,\,{{B}_{2}}{{G}_{2}},\,\,{{B}_{2}}{{G}_{3}},\]\[{{B}_{2}}{{G}_{4}},{{B}_{2}}{{G}_{5}},\text{ }{{B}_{2}}{{G}_{6}},\text{ }{{B}_{3}}{{G}_{2}},\,\,{{B}_{3}}{{G}_{3}},\,\,{{B}_{3}}{{G}_{4}},\,\,{{B}_{3}}{{G}_{5}},\,\,{{B}_{3}}{{G}_{6}}\])
Number of possible combinations = 18
2. If today is 3rd day from Sunday, then what day is today?
(a) Tuesday (b) Wednesday (c) Thursday (d) Friday
Explanation (a):
Today from Sunday and 3rd day from Sunday is Tuesday is Tuesday [Sunday, Monday, Tuesday] today is Tuesday.
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