Question

How do I evaluate and answer 7P4 and 12C5

Answer 1

Given:

Here given is 7P4 and 12C5

Required:

Evaluate both

Step-by-step explanation:

here is the formula for P

`nPr=(n!)/((n-r)!)`

so now for 7P4

`7P4=(7!)/((7-4)!)=(7*6*5*4*3!)/(3!)=7*6*5*4=840`

now for 12C5

here is the formula for C

`nCr=(n!)/(r!(n-r)!)`
`12C5=(12!)/(5!(12-5)!)=(12*11*10*9*8*7!)/(5!7!)=792`

is for 12C5

Final Answer:

7P4=840 and 12C5=792