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The Competitive Exclusion Principle

If a selectio...

Question

If a selection can be performed in m ways, following which another selection can be performed in n ways, and both the selections are dependent on each other then, the two selections together can be performed in exactly ______different ways.

A

(m × n)

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B

(m + n)

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C

(m - n)

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D

2(m + n)

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Solution

The correct option is A (m × n)

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Similar questions

Q. If there are two jobs such that they can be performed independently in m and n ways respectively, then either of the two jobs can be performed in ....... ways.

Q. If there are two selections such that they can be done independently in m ways and n ways respectively, then either of the two selections can be done in ______ ways.

n

different books, and

p

copies of each; find the number of ways in which a selection can be made from them.

n

different books and

p

copies of each. The number of ways in which a selection can be made from them, is

Q. Assertion :The number of ways of selecting

5

12

students (of which six are boys and six are girls), such that in the selection there are at least three girls is

^{6} C_{3} \cdot^{9} C_{2} .

Reason: If a work has two independent parts, of which first part can be done in m way and for each choice of first part, the second part can be done in n ways, then the work can be completed in

m \times n

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