Question

you want to pick two distinct numbers from the set (1,2,3,4) , in how many ways can you do this so that the product is even?

Answer 1

Answer:

firstly make sets of distinct numbers whose product will be even :

(1,2)

(1,4)

(2,1)

(2,3)

(2,4)

(3,2)

(3,4)

(4,1)

(4,2)

(4,3)

now remove the repeating ones :

now you will left with

(1,2) (1,4) (2,3) (2,4) (3,4)

so the answer is 5

hope you understood

Answer 2

Concept

An organized collection of objects in mathematics that can be represented in the set- builder form or roster form is called as Sets.

Given

Set (1,2,3,4)

Find

How many ways we pick two numbers from the given set so that the product is even

Solution

Total ways in which the product of 2 numbers is even

(1,2),(1,4),(2,1),(2,3),(2,4),(3,2),(3,4),(4,1),(4,2), (4,3)

Removing the repeating ones

So we are left with

(1,2) (1,4) (2,3) (2,4) (3,4)

= 5

No of ways we can pick two distinct numbers from set (1,2,3,4) so that the product is even is 5.

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