evaluate 3!,4!and 7! and prove that3!+4!=7!
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3 ! = 3 × 2 × 1 = 6
4 ! = 4 × 3 × 2 × 1 = 24
7 ! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040
Now , substituting the values in the LHS ,i.e, 3 ! + 4 !
3 ! + 4 !
= 6 + 24
= 30
Now taking the RHS, 7!
7 ! = 5040
This shows us that, LHS = RHS.
3 ! + 4 ! is not equal to 7! .
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The factorial function (symbol: !) says to multiply all whole numbers from our chosen number down to 1.
Examples:
4! = 4 × 3 × 2 × 1 = 24
7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040
1! = 1
3 ! = 3 × 2 × 1 = 6
4 ! = 4 × 3 × 2 × 1 = 24
7 ! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040
Now , substituting the values in the LHS ,i.e, 3 ! + 4 !
3 ! + 4 !
= 6 + 24
= 30
Now taking the RHS, 7!
7 ! = 5040
This shows us that, LHS = RHS.
3 ! + 4 ! is not equal to 7! .
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