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3 years ago

How many ways are there to arrange the 26 letters of the alphabet so that no pair of vowels appears consecutively?

Mathematics

1 answer:

Vilka [71]3 years ago

3 0

Take an ordering of the consonants (there are 21! such orderings), for example:

bcdfghjklmnpqrstvwxyz

Enumerate the 22 "slots" between these consonants:

_b_c_d_f_g_h_j_k_l_m_n_p_q_r_s_t_v_w_x_y_z_

We can choose (respecting order) ₂₂P₅ lists of five slots to put the vowels aeiou in order.

The answer is therefore ₂₂P₅ ₓ 21!

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PLEASE HELP!<br><br> Reduce to simplest form.<br> 5/8 - (- 7/2)

Daniel [21]

Answer:

$\huge\boxed{\sf 4\frac{1}{8} }$

Step-by-step explanation:

$\sf =\frac{5}{8} - (-\frac{7}{2} )\\\\Rule : ( - *- = +)\\\\\=\frac{5}{8} +\frac{7}{2} \\\\LCM = 8\\\\\=\frac{5+28}{8} \\\\\=\frac{33}{8} \\\\=4\frac{1}{8}$

$\sf =\frac{5}{8}+ \frac{7}{2} \\\\=\frac{5+28}{8}$

$\sf =\frac{33}{8} \\\\=4\frac{1}{8}$

Hope this helped!

<h2>~AnonymousHelper1807</h2>

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3 years ago

Rae earns $60 for playing music on saturday nights at the local coffee house. she makes an average of $5.25 in tips per hour. wr

insens350 [35]

Okay. So for this equation, she would make $60, plus $5.25 in tips each hour. So for this, she would get $60 + 5.25h. Plug in 4 hours, and she would make $21 off of tips, plus the $60, which brings her up to $81 total. The answer is C.

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3 years ago

Write a exspession for 8 divided by d

BlackZzzverrR [31]

Answer:

8/D

hope this helps

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3 years ago

The wholesale price for a pillow is 8.50. A certain department store marks up the wholesale price by 90%. Find the price of the

Fofino [41]

Answer:

16.15 ($) or currency

Step-by-step explanation:

initial cost 850

new price = 8,5 x 1.90 = 16.15

8 0

3 years ago

Read 2 more answers

Please I need help on this

Stolb23 [73]

Answer:

8.4

Step-by-step explanation:

50 ÷ 25 = 2

(2)2 x 7 x 0.3

4 x 2.1

= 8.4

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3 years ago

Read 2 more answers