For any integer P greater than 1, P! denotes the product of all the integers from 1 to P, inclusive. The value of 11! is closest towhich of the following powers of 10?a)106b)107c)108d)109e)1010Correct answer is option 'B'. Can you explain this answer?

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For any integer P greater than 1, P! denotes the product of all the integers from 1 to P, inclusive. The value of 11! is closest to
which of the following powers of 10?

a)
10⁶
b)
10⁷
c)
10⁸
d)
10⁹
e)
10¹⁰

Correct answer is option 'B'. Can you explain this answer?

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Verified Answer

For any integer P greater than 1, P! denotes the product of all the in...

Given:

For any positive integer P, P! = P(P-1)(P-2) . . . * 3* 2 * 1
- Since 11 is a positive integer, 11! = 11*10*9*8*7*6*5*4*3*2*1

To Find: Which power of 10 is 11! The closest to?

Approach:

To answer this question, we’ll use the principle of Estimation and Rounding
In the first step, we’ll group the terms in the expression for 11! such that the product of 2 or more terms in a group is close to a multiple of 10.
Then, we’ll round the products obtained in the first step to multiples of 10 and estimate the value of 11!

Working out:

Looking at the answer choices, we see that the correct answer is Option B

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For any integer P greater than 1, P! denotes the product of all the integers from 1 to P, inclusive. The value of 11! is closest towhich of the following powers of 10?a)106b)107c)108d)109e)1010Correct answer is option 'B'. Can you explain this answer?

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For any integer P greater than 1, P! denotes the product of all the integers from 1 to P, inclusive. The value of 11! is closest towhich of the following powers of 10?a)106b)107c)108d)109e)1010Correct answer is option 'B'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about For any integer P greater than 1, P! denotes the product of all the integers from 1 to P, inclusive. The value of 11! is closest towhich of the following powers of 10?a)106b)107c)108d)109e)1010Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For any integer P greater than 1, P! denotes the product of all the integers from 1 to P, inclusive. The value of 11! is closest towhich of the following powers of 10?a)106b)107c)108d)109e)1010Correct answer is option 'B'. Can you explain this answer?.

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