alleryWhat is the value of 5! (five factorial)?
- 120
- 60
- 24
- 720
Show answer and solution
Correct answer: A. 120
5! = 5 x 4 x 3 x 2 x 1 = 120.
GMAT Permutations and Combinations — practice questions
Explore 56 free Permutations and Combinations questions in GMAT Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.
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Showing questions 1–30 of 56.
What is the value of 5! (five factorial)?Read the answer and worked solution →In how many ways can 4 different books be arranged on one shelf?Read the answer and worked solution →Evaluate 8P3, the number of ordered selections of 3 from 8.Read the answer and worked solution →Evaluate 6C2, the number of ways to choose 2 items from 6.Read the answer and worked solution →What is the value of 12C10?Read the answer and worked solution →How many different subsets, including the empty set, has a set of 5 elements?Read the answer and worked solution →How many arrangements can be made using all the letters of the word LOGIC?Read the answer and worked solution →In how many ways can 5 people sit around a circular desk?Read the answer and worked solution →How many 3-digit strings can be formed from digits 1 to 5 if repeats are allowed?Read the answer and worked solution →A club of 7 members must pick a committee of 3. In how many ways can this be done?Read the answer and worked solution →How many distinct arrangements are there of the letters of the word BANANA?Read the answer and worked solution →How many diagonals does a convex hexagon have?Read the answer and worked solution →If every one of 10 people shakes hands once with each other, how many handshakes occur?Read the answer and worked solution →From 4 boys and 3 girls, how many pairs of one boy and one girl can be chosen?Read the answer and worked solution →Three men and two women stand in a row with the two women together. How many ways?Read the answer and worked solution →A permutation of a set in which no element stays in its original place is called aRead the answer and worked solution →The number of circular permutations of n distinct objects isRead the answer and worked solution →With repetition allowed, the number of k-tuples from an n-element set isRead the answer and worked solution →A selection in which the order of the chosen items does not matter is called aRead the answer and worked solution →The ratio nPr / nCr is equal toRead the answer and worked solution →In how many ways can one prefect be chosen from 9 students?Read the answer and worked solution →How many different 4-card selections can be drawn from a standard 52-card deck?Read the answer and worked solution →Six people sit in a row, with two named people always side by side. How many ways?Read the answer and worked solution →Five people sit in a row. In how many ways are two named people NOT adjacent?Read the answer and worked solution →How many arrangements of the letters of MISSISSIPPI exist?Read the answer and worked solution →A team of 4 is chosen from 6 men and 4 women with exactly 2 women. How many ways?Read the answer and worked solution →Four boys and three girls stand in a row with no two girls adjacent. How many ways?Read the answer and worked solution →How many even 4-digit numbers use digits 1 to 5 with no repeated digit?Read the answer and worked solution →How many non-negative integer solutions does x + y + z = 5 have?Read the answer and worked solution →With four types of donut available, how many ways can 3 donuts be chosen, repeats allowed?Read the answer and worked solution →
Worked practice questions
In how many ways can 4 different books be arranged on one shelf?
- 12
- 24
- 8
- 16
Show answer and solution
Correct answer: B. 24
Four distinct objects in a row can be ordered in 4! = 24 ways.
Evaluate 8P3, the number of ordered selections of 3 from 8.
- 336
- 56
- 24
- 512
Show answer and solution
Correct answer: A. 336
8P3 = 8 x 7 x 6 = 336.
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