Question

how many 2 digit Even Numbers can be formed from the digits 1, 2, 3, 4, 5 if the digits can be repeated

Answer 1

Lets take the two places of the two digit no.- tens place and ones place
tens place- all the five numbers can appear
ones place - either 2 or 4 can appear
therefore, no. of numbers possible = 5* 2C5
                                                        = 5*5.4.3.2/2.3.2=50

Answer 2

Answer:

10

Explanation;

There can be as many ways as there are ways of filling 2 vacant places □□ in succession by the five given digits. Since we have to form an even number, so the options

for unit's place are 2 and 4 only and this can be done in 2 ways. After filing up the unit

place, the ten's place can be filled up by any of the five given digits in 5 different ways as the

digits can be repeated.Hence, the number of two digit even numbers that can be formed = 2 x 5 = 10.