54. What is the digit at unit place in the
product of first 9 natural number?
Answers
Answer:
Find someone who has Alexa or one of the other similar devices and say ‘Alexa what is factorial 9’ Alexa will respond by saying ‘Factorial 9 is three hundred and sixty-two thousand, eight hundred and eighty’ So the last digit is 0. Mathematicians write the number you requested as 9! That exclamation mark is not a surprise, though it might be to you, it is just a short form way of writing 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1. You might ask why it ends in a zero. The problem you have is that your question includes the number 2. So that will make the product even. Also, it has 5 in it and that means that the number also has must end in a 0 or a 5. However, we already know it is even and so it can only end in a zero. So you might take this home with you. All factorials that are 5! (pronounced factorial five) or greater end in at least one zero. Factorials are useful for determining how many combinations there are on a lock or how many different ways you can arrange a set of playing cards. If the deck has 52 cards then they can be arranged is 52! ways. Try to discover how big that it. Hint. It is very big. Alexa knows the answer to this. You might want to have a snack with you while she tells you the answer.
Step-by-step explanation:
welcome
Answer:
three hundred and sixty-two thousand, eight hundred and eighty’ So the last digit is 0. (360880)
Step-by-step explanation:
is just a short form way of writing 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1. You might ask why it ends in a zero. The problem you have is that your question includes the number 2. So that will make the product even. Also, it has 5 in it and that means that the number also has must end in a 0 or a 5. However, we already know it is even and so it can only end in a zero.