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solve 7
Question:
Solve:
7
!
7!
7
!
= ?
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Factorial
n
!
n!
n
!
grows rapidly as
n
n
n
increases.
7
!
=
5040
7! = 5040
7
!
=
5040
is an essential value to remember for combinatorics problems.
BHU PET - 2019
BHU PET
Updated On:
Mar 25, 2025
70
120
720
5040
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The Correct Option is
D
Solution and Explanation
Factorial of a number
n
!
n!
n
!
is given by:
n
!
=
n
×
(
n
−
1
)
×
(
n
−
2
)
×
.
.
.
×
1
n! = n \times (n-1) \times (n-2) \times ... \times 1
n
!
=
n
×
(
n
−
1
)
×
(
n
−
2
)
×
...
×
1
For
7
!
7!
7
!
:
7
!
=
7
×
6
×
5
×
4
×
3
×
2
×
1
7! = 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1
7
!
=
7
×
6
×
5
×
4
×
3
×
2
×
1
Step-by-step calculation:
7
×
6
=
42
7 \times 6 = 42
7
×
6
=
42
42
×
5
=
210
42 \times 5 = 210
42
×
5
=
210
210
×
4
=
840
210 \times 4 = 840
210
×
4
=
840
840
×
3
=
2520
840 \times 3 = 2520
840
×
3
=
2520
2520
×
2
=
5040
2520 \times 2 = 5040
2520
×
2
=
5040
Thus, the correct answer is 5040.
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