Answered

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Sagot :

Answer:

A)336

B) In how many ways can you arrange 8 people in 3 different chairs?

C) 21

D) You want to buy 3 cartoon books from a book store that has 7 cartoon books. In how many ways can you select?

Step-by-step explanation:

A) P(n, r) = P(8, 3)

Formula for permutation is;

P(n, r) = n!/(n - r)!

P(8, 3) = 8!/(8 - 3)!

P(8, 3) = (8 × 7 × 6 × 5!)/5!

5! will cancel out to give;

P(8, 3) = (8 × 7 × 6)

P(8, 3) = 336

B) In how many ways can you arrange 8 people in 3 different chairs?

C) C(n, r) = C(7, 2)

Formula for combination is;

C(7, 2) = n!/(n - r)!r!

Thus;

C(7, 2) = 7!/(7 - 2)!2!

C(7, 2) = (7 × 6 × 5!)/(5! × 2 × 1)

5! will cancel out to give;

C(7, 2) = 7 × 6/2

C(7, 2) = 21

D) You want to buy 3 cartoon books from a book store that has 7 cartoon books. In how many ways can you select?

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