There are 16 people in a running race the first 3 people to finish the race will be given prizes how many different ways can the 1st 2nd and 3rd place prizes be awarded

3360

Step-by-step explanation:

16 possible first runners _times_ 15 possible 2nd runners _times_ 14 possible third runners

   = 16*15*14

   = 3360 different possible ways the 3 prizes are awarded.

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents

see explanation

step-by-step explanation:

a

(6r + 7) + (13 + 7r) ( remove brackets and collect like terms )

= 6r + 7 + 13 + 7r

= 13r + 20

b

remove brackets and collect like terms

13 - r - 1 + r

= 12 - r

c

remove brackets and collect like terms

= - 8 - r + 2r - 4

= - 12 + r

d

remove brackets and collect like terms

= 7r - - - 6r

[-   - = - - = - ]

= r -