# 3rd Class Mental Ability Days and Dates & Possible Combinations Days and Dates & Possible Combinations

Days and Dates & Possible Combinations

Category : 3rd Class

Possible Combinations

• How to make possible combinations/pairs of 1 - 1 objects from given m - n objects?
• If $m=n,$then number of possible (1 - 1) combinations of (m-n) objects are $m\times m$.
• If $m\times n$, then number of possible (1 - 1) combinations of (m-n) objects are $m\times n$.

Days and dates

• How to find the days required in question?
• We have to first naming what is today, yesterday and tomorrow.
• 8th day from today is again that day.

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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