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Masja [62]
4 years ago
14

How many combinations of four books can be made from eight different books? 24 70 1,680?

Mathematics
1 answer:
djverab [1.8K]4 years ago
3 0

Answer:

70

Step-by-step explanation:

four books can be made from eight different books

4 books to be chosen from 8 books

The order does not matters so we use Combination.

four books can be made from eight different books, so we find 8C4

nCr= \frac{n!}{r!(n-r)!}

8C4= \frac{8!}{4!(8-4)!}

8C4= \frac{8!}{4!(4)!}

8C4= \frac{8*7*6*5*4!}{4!(4)!}=70

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Find the following GCD and LCM: (3.a) GCD(343,550), LCM(343, 550). (3.b) GCD(89, 110), LCM(89, 110). (3.c) GCD(870, 222), LCM(87
Ierofanga [76]

Answer with Step-by-step explanation:

(3.a) GCD(343,550), LCM(343, 550).

343=7×7×7

550=5×5×2×11

GCD(343,550)=1

LCM(343,550)=7×7×7×5×5×2×11=188650

(3.b) GCD(89, 110), LCM(89, 110).

89=1×89

110=5×2×11

GCD(89, 110)=1

LCM(89, 110)=89×5×2×11=9790

(3.c) GCD(870, 222), LCM(870, 222).

870=2×3×5×29

222=2×3×37

GCD(870, 222)=2×3=6

LCM(870, 222)=2×3×5×29×37=32190

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