If seven cards are chosen from a well-shuffled deck of 52 playing cards. In how many...

Question

Question

If seven cards are chosen from a well-shuffled deck of 52 playing cards. In how many selections do 2 diamonds occur?

a. 2,613,754

b. 5,987,210

c. 44,909,046

d. 67,406,072

e. 28,512,713

Please also show how you set it up. Thanks.

math Statistics-And-Probability

Answer 1

Answer #1

There are 13 diamonds cards in a well-shuffled deck of 52 playing cards.

39 non diamonds cards in a well-shuffled deck of 52 playing cards.

C(13,2)*C(39,5) = 44,909,046

Option c) is correct.

Answer 2

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