
What is 26!?
Answer
452.1k+ views
Hint: First we will understand about the term factorial of a number. Now, to find the factorial of the given number we will start with 26 and then keep on decreasing the numbers with 1 unit till we reach the number 1. We will take the product of all these natural numbers to get the answer. Use the formula where n is a non negative integer.
Complete step by step solution:
Here we are provided with the expression 26! And we are asked to find its value. First we need to understand the term ‘factorial’ of a number.
Now, in mathematics the factorial of a non negative integer ‘n’ is the product of all the positive integers that are smaller than n and including n. It is denoted as and its expression is given as . The value of n cannot be fraction, decimal, negative integers etc. because there is no meaning of the factorial of such numbers. For example: - .
Let us come to the question. We have to find the factorial of 26, so using the above formula we get,
On performing the above multiplications in a scientific calculator we get,
Hence, the above expression is our answer.
Note: Here, we will be required to use the scientific calculator for calculation of the product of the first 26 natural numbers as it will take much time if we will try to calculate on paper. You can see that will be a huge number. Factorials are important in the chapter permutation and combination where we have to select r things out of a total of n things.
Complete step by step solution:
Here we are provided with the expression 26! And we are asked to find its value. First we need to understand the term ‘factorial’ of a number.
Now, in mathematics the factorial of a non negative integer ‘n’ is the product of all the positive integers that are smaller than n and including n. It is denoted as
Let us come to the question. We have to find the factorial of 26, so using the above formula we get,
On performing the above multiplications in a scientific calculator we get,
Hence, the above expression is our answer.
Note: Here, we will be required to use the scientific calculator for calculation of the product of the first 26 natural numbers as it will take much time if we will try to calculate on paper. You can see that
Recently Updated Pages
Master Class 11 Business Studies: Engaging Questions & Answers for Success

Master Class 11 Economics: Engaging Questions & Answers for Success

Master Class 11 Accountancy: Engaging Questions & Answers for Success

Master Class 11 Computer Science: Engaging Questions & Answers for Success

Master Class 11 Maths: Engaging Questions & Answers for Success

Master Class 11 English: Engaging Questions & Answers for Success

Trending doubts
The flightless birds Rhea Kiwi and Emu respectively class 11 biology CBSE

1 Quintal is equal to a 110 kg b 10 kg c 100kg d 1000 class 11 physics CBSE

Name the Largest and the Smallest Cell in the Human Body ?

Whales are warmblooded animals which live in cold seas class 11 biology CBSE

Where can free central placentation be seen class 11 biology CBSE

What is the chemical name of Iron class 11 chemistry CBSE
