Example 1.2-12 A coin is flipped 10 times and the sequence of heads and tails is

Question

Example 1.2-12 A coin is flipped 10 times and the sequence of heads and tails is observed. The num- ber of possible 10-tuplet that result in four hands and six tails is Example 1.2-13 In an orchid show, seven orchids are to be placed along one side of the greenhouse. There are four lavender orchids and three white orchids. Considering only the color of the orc see that the number of lineups of the orchids is hids, we If the colors of the seven orchids are while, lavender, yellow, mauve, crimson, orangt, and pink, the number of different displays is Example 1,2-14 Among nine orchids of a line of orchids along one wall, three are whit and two yellow. The number of different color displays is then Select 4 positions from the remaining positions in Select 2 positions from the remaining__ positions in ways. Finally, use the multiplication rule

Explanation / Answer

Dear student here you have posted more than one queation ,acually chegg policy allowed only one solution at a time : Still i've tried to solve first three of them,please repost other. Thank you!

(1.2-12 A)

Number of ways to get four heads and six tails = 10! / (4! * 6!) = 210

(1.2-13)

Number of lineup of 4 lavender & 3 white orchids = 7! /(4! * 3!) = 35

Number of different display of seven colors of orchids = 7! = 5040

(1.2-14)

The number of different color display of three white, four lavender and two yellow orchids = 9!/ (3! * 4! * 2!) =1260

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