Question

If a task can be done in ‘m' ways
and then another task can be
done in ‘n’ ways, then the first
task or the second task can be
done in
ways.
a)n-m
b)m/n
c)m+n
d)mn​

Answer 1

Given :- If a task can be done in ‘m' ways and then another task can be done in ‘n’ ways, then the first task or the second task can be done in ways.

a) n-m

b) m/n

c) m+n

d) mn

Answer :- c) m+n .

Explanation :-

→ If a task can be done in = m ways

and,

→ another task can be done in = n ways

then,

→ The first task or the second task can be done (but not both) in = (m + n) ways . { By sum rule.}

also,

→ If a task can be done in = m ways

and,

→ another task can be done in = n ways

then,

→ Both first task and second task can be done in = m * n = mn ways . { By Product rule.}

therefore, option (c) m + n is correct answer .

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Answer 2

Given : a task can be done in ‘m' ways

and   another task can be done in ‘n’ ways,  

To Find :  the first task or the second task can be done in ways.

Solution:

a task can be done in ‘m' ways

another task can be done in ‘n’ ways,  

Total ways of doing both tasks  m * n  ways

first task or the second task can be done in ways.

1st task in m ways

2nd task in ways

Hence first task or the second task in

m +  n  ways

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