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Question : If a given set has eight elements, how many of its subsets have : 2139443

Solve the problem.

181) If a given set has eight elements, how many of its subsets have at most three elements?

A) 93 subsets

B) 163 subsets

C) 56 subsets

D) 92 subsets

182) A class has 10 boys and 12 girls. In how many ways can a committee of four be selected if the committee can have at most two girls?

A) 4620 ways

B) 5665 ways

C) 4410 ways

D) 5170 ways

Find the number of ways to get the following card combinations from a 52-card deck.

183) All sixes in a five-card hand

A) 144 ways

B) 0 ways

C) 192 ways

D) 48 ways

184) All cards of the same color in a five-card hand

A) 32,890 ways

B) 131,560 ways

C) 65,780 ways

D) 263,120 ways

185) No face cards in a five-card hand

A) 319,865 ways

B) 639,730 ways

C) 127,946 ways

D) 658,008 ways

186) All diamonds in a five-card hand

A) 3,861 ways

B) 2,574 ways

C) 143 ways

D) 1,287 ways

187) Two red cards and three black cards

A) 422,500 ways

B) 1,690,000 ways

C) 845,000 ways

D) 1,267,500 ways

188) Two black jacks and two red queens

A) 48 ways

B) 1,152 ways

C) 192 ways

D) 144 ways

189) Three of one kind and two of another kind (such as three aces and two nines)

A) 1872 ways

B) 44,928 ways

C) 3744 ways

D) 24 ways

190) If two cards are drawn from a 52-card deck without replacement, in how many different ways is it possible to obtain a heart on the first draw and an ace on the second?

A) 51 ways

B) 50 ways

C) 48 ways

D) 3 ways