Circle the best answer. Test is open book or e-book. You are allowed one page of

Question

Circle the best answer. Test is open book or e-book. You are allowed one page of notes. The number of permutations of 12345 is 30 60 90 120 none of these The number of permutations of ABBA is 2 4 6 8 none of these The number of permutations of AAABBC is 30 60 90 120 none of these A man has 6 cars. He decides to give away 3 cars. How many ways can he do this? 30 60 90 120 none of these The probability of exactly 4 heads in 6 tosses of a coin is 3/64 9/64 15/64 21/64 none of these The probability of exactly 0 heads in 6 tosses of a coin is 0 1/64 2/64 3/64 none of these The probability of at least 1 head in 6 tosses of a coin is 1 1/2 48/64 63/64 none of these Let X be the number of heads in 6 tosses of a coin. Then E{X} = 1 2 3 4 none of these Let X be the number of heads in 6 tosses of a coin. Then Var{X} = 1/2 2/2 3/2 4/2 none of these Let X be the number of heads in 6 tosses of a coin. Then P(X

Explanation / Answer

1. nPn = n! = 5! =120 - option d

2. n1=2 -objects A

n2 =2 objects B

Total number of permutations = n!/ ( n1! * n2!)

= 4!/ (2*2) = 6 Option - c

3. Number of permutations of AAABBC

n1 = 3 (A's)

n2=2 (B's)

n3=1(C's)

Number of permutations = (n!) /(n1! * n2!* n3!)

= 6! /(3! * 2! * 1) = 60 option - B

4.

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