How many 5 digit even numbers can be formed from the digits 0 1,2 3 and 4 if repetition of digit is not allowed?
Problem 1: How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that –(i) repetition of the digits is allowed?Solution: Show
(ii) repetition of the digits is not allowed?Solution:
Problem 2: How many 3-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 if the digits can be repeated?Solution:
Problem 3: How many 4-letter code can be formed using the first 10 letters of the English alphabet if no letter can be repeated?Solution:
Problem 4: How many 5-digit telephone numbers can be constructed using the digits 0 to 9 if each number starts with 67 and no digit appears more than once?Solution:
Problem 5: A coin is tossed 3 times and the outcomes are recorded. How many possible outcomes are there?Solution:
Problem 6: Given 5 flags of different colours, how many different signals can be generated if each signal requires the use of 2 flags, one below the other?Solution:
Using the digits 1, 2, 3, 5, and 6, without repetition, how many five-digit even numbers can be formed?
Concept: Basic Principle of Counting: If there are m ways for happening of an event A, and corresponding to each possibility there are n ways for happening of event B, then the total number of different possibilities for happening of events A and B are:
Calculation: For an even number, the units place must be 2 or 6, so it can be filled in 2 ways. The remaining four places can now be filled in 4, 3, 2 and 1 ways respectively. The total number of ways in which the number can be written = 4 × 3 × 2 × 1 × 2 = 48. Stay updated with the Mathematics questions & answers with Testbook. Know more about Permutations and Combinations and ace the concept of Fundamental Principles of Counting. How many numbers of 5 digits can be formed with the digits 0 2 3 4 and 5 if the digits many repeat?Therefore, there will be 60 distinct 5 - digit numbers.
How many fiveHow many five-digit even numbers can be formed using \(2,6,3,0,\) and \(1\) only once? Without restrictions, there can be 5x4x3x2x1=120 combinations of 5 numbers.
How many 5 digit even numbers with distinct digits can be formed using the digits 1,2 5 5 and 4?Answer. Step-by-step explanation: 36 is the digital even number with distinct digit can be formed using the digit 1,2,5,5,4.
How many 5 digit even numbers can be formed using the digits 1,2 3 4 5 exactly once?Total number of ways = 1,080 + 2,160 = 3,240.
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