How many 3 digit numbers without repetition that can be written with the digits 1,2 3 4 using systematic listing?
Thea E. how many three digit numbers can be made with the digits 1,2,3,4,5,6 and 7 if a) repetitions are allowed b) no digits is to be repeated in a number? More 1 Expert Answer
Hi Thea With 7 numbers, we can create three digit numbers like this. a) With repetitions would suggest with replacement. We'd have 7 options for the first digit, 7 options for the 2nd digit and 7 choices for the 3rd digit 73 = 343 combinations b) Without repeated numbers, would suggest without replacement We'd have 7 options for the first digit, 6 options for the 2nd digit and 5 choices for the 3rd digit 7•6•5 = 210 combinations Still looking for help? Get the right answer, fast.ORFind an Online Tutor Now Choose an expert and meet online. No packages or subscriptions, pay only for the time you need. 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. 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 numbers can be formed using without repetition?n will be the number of digits that are not in 0, 2, 3, 4, 5 and 6. Hence 1, 7, 8, 9. The value of r will be 3, as we need a form 3 digit number only. Hence, 24 3-digits numbers can be formed without using the digits 0, 2, 3, 4, 5 and 6.
How many 3 digit numbers can be formed using 12345?∴ Total number of 3-digit numbers = 3×4×5=60.
How many 3 digit numbers can be formed using 1 and 2?Answer: 24
As repetition is not allowed, So the number of digits available for B = 3 (As one digit has already been chosen at A), Similarly, the number of digits available for C = 2.
How many three digit numbers can be formed from the digits 1 2 3 4 and 5 if 1 is not to be used as the first digit and repetitions are allowed?so 60(ans.)
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