How many 3 digit even numbers can you form such that if one of the digits is 5 The following is it must be 7?
In mathematics, permutation is known as the process of arranging a set in which all the members of a set are arranged into some series or order. The process of permuting is known as the rearranging of its components if the set is already arranged. Permutations take place, in more or less important ways, in almost every area of mathematics. They frequently appear when different commands on certain finite sets are considered. Show
What is a Combination? A combination is an act of choosing items from a group, such that (not like permutation) the order of choice does not matter. In smaller cases, it is possible to count the number of combinations. Combination refers to the union of n things taken k at a time without repetition. In combination, you can select the items in any order. To those combinations in which re-occurrence is allowed, the terms k-selection or k-combination with replication are frequently used. Permutation Formula In permutation r things are selected from a set of n things without any replacement. In this order of selection matter.
Combination Formula In combination r things are selected from a set of n things and where the order of selection does not matter.
How many 3-digit even numbers can be formed by using the digits 1,2,3,4, and 5?Solution:
Similar QuestionsQuestion 1: How many 3 digit odd numbers can be formed by using the digits 1,2,3,4 and 5? Solution:
Question 2: How many 4 digit even numbers can be formed by using the digits 1,2,3,4 and 5? Solution:
How many 3 digit even numbers can be formed if one of the digits is 5?So only possible way is 57X where X denotes 0,2,4,6 and 8. Hence, total ways in which we can make a 3-digit even no. without violating given condition are: 360+5=365 answer.
How many even number are there with 3 digits such that if 5 is one of the digit then 9 is the next digit?Solution : 1)5 is not there
Possible ways`=8*9*5=360` 2)5 is there Possible ways`=360+5=365`. Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams. How many 3 digit numbers can be formed such that if one of the digits is 3 it has to be followed by the digit 7 no digit is to be repeated in the number?Expert-verified answer
Hence 8×9×5+4=364 such numbers can be made.
How many 3 digits even numbers can be formed from the digits?The number at one's place can be filled by 2, 4, 6. ∴ The required number of ways formed using 3- digit even number using 1, 2, 3, 4, 6, 7 is 60.
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