Question

Evaluate 7P6 − 2(6C2)

Answer 1

Multiply 6 by -2 to get -12

7x6-12y2

Answer 2

The given expression is
`^7P_6-2(^6C_2)`

Here P represents Permutation and C represents Combination

Thus, the given expression can be rewritten as:

`^7P_6-2(^6C_2)=(7!)/((7-6)!)-2(6!)/((6-2)!2!) =(7!)/(1!)-2(6!)/(4!2!)`

`\therefore ^7P_6-2(^6C_2)=7!-(2* 6* 5* 4!)/(4!* 2)=5040-30=5010`

Therefore, for the given expression
`^7P_6-2(^6C_2)`, it's value is 5010