PLEASE EXPLAIN AND SHOW ALL WORK IN ORDER TO RECEIVE POINTS Consider the stateme

Question

PLEASE EXPLAIN AND SHOW ALL WORK IN ORDER TO RECEIVE POINTS

Consider the statement "There does not exist a narwhal that can live on land." Write an equivalent English statement that begins with the words "Every narwhal" Let P(x) fee the predicate "x can live on land," where the variable x represents animals. Write both statements symbolically using P(x) and quantifiers, (3, v). At a regional competition, 7 male runners compete in a 100 - meter sprint and 5 female runners compete in a separate 100 - meter sprint. How many different arrangements are possible for a first - , second - , and third - place male runner and a first - and second - place female runner? How many distinguishable permutations can be made of the letters in the word AMERICA?

Explanation / Answer

1)every narwhal that exists do not live onland

2)selecting 3 males from 7 =7C3

position of each selected male=3!

total possibiliteis for males=7C3*3!

selecting 2 females from 5 =5C2

position of each selected female=2!

total possibiliteis for males=5C3*2!

TOTAL POSSIBILITIES=7C3*3!*5C3*2!=4200

3) AMERICA has two A's(repeated)

total letters=7

possibilities=7!/2!=2520

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