5. Find the number of distinguishable permutations of six colored blocks if one is red, two are yellow, and three are blue. (A) 360 (B) 60 (C) 720 (D) 120

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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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5. Find the number of distinguishable permutations of six colored blocks if one is red, two are
yellow, and three are blue.
(A) 360
(B) 60
(C) 720
(D) 120
6. The random variable X, is discrete and uniformly distributed with values 1,2,3,4,5. The
variance of X is
(A) 1
(B) 2
(C) 3
(D) 4
7. The number of different ways, not counting rotations, to seat 5 different people around a
circular table is
(A) 24
(B) 36
(C) 120
(D) 240
8. How many ways can 8 teachers be divided among 4 schools if each school must receive 2
teachers?
(B) 250
(C) 2520
(D) 550
9. If P(A) = 0.7, P(B) = 0.5 and P( [AUB]') = 0.1 then P(AB) is
(A) =//
(B)
(C) //10
(D)
(A) 520
10. If the distribution function of the random variable X is given by
0
F(X)=
then P(-3 < X</) is
(A) //
1
+1
2
(B) ²/
x<0
0<x< 1
1 ≤x
(C) 1
(D) 0
Transcribed Image Text:5. Find the number of distinguishable permutations of six colored blocks if one is red, two are yellow, and three are blue. (A) 360 (B) 60 (C) 720 (D) 120 6. The random variable X, is discrete and uniformly distributed with values 1,2,3,4,5. The variance of X is (A) 1 (B) 2 (C) 3 (D) 4 7. The number of different ways, not counting rotations, to seat 5 different people around a circular table is (A) 24 (B) 36 (C) 120 (D) 240 8. How many ways can 8 teachers be divided among 4 schools if each school must receive 2 teachers? (B) 250 (C) 2520 (D) 550 9. If P(A) = 0.7, P(B) = 0.5 and P( [AUB]') = 0.1 then P(AB) is (A) =// (B) (C) //10 (D) (A) 520 10. If the distribution function of the random variable X is given by 0 F(X)= then P(-3 < X</) is (A) // 1 +1 2 (B) ²/ x<0 0<x< 1 1 ≤x (C) 1 (D) 0
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