A new flag is to be designed with six vertical strips using some or all of the colours yellow, green, blue and red. Then, the number of ways this can be done such that no two adjacent strips have the same colour is a.12 x 81 b.16 x 192 c.20 x 125 d.24 x 216

Answer:

[B(OH)4]^- I Hope It's Help you

Answer:

[tex]\qquad\qquad\qquad\boxed{ \bf{ \:(c) \: \: 756 \: \: }} \\ \\ [/tex]

Step-by-step explanation:

Given that, From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least three men are in the committee.

The following cases arises :

[tex]\begin{gathered}\boxed{\begin{array}{c|c} \bf Number \: of \: men & \bf Number \: of \: women \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf 3 & \sf 2 \\ \\ \sf 4 & \sf 1 \\ \\ \sf 5 & \sf 0 \end{array}} \\ \end{gathered} \\ \\ [/tex]

So, Number of ways are

[tex]\sf \: = \ ^7C_3 \times \ ^6C_2 + \ ^7C_4 \times \ ^6C_1 + \ ^7C_5 \times \ ^6C_0 \\ \\ [/tex]

[tex]\sf \: = \: \dfrac{7!}{3!4!} \times \dfrac{6!}{2!4!} + \dfrac{7!}{4!3!} \times \dfrac{6!}{1!5!} + \dfrac{7!}{5!2!} \times 1 \\ \\ [/tex]

[tex]\sf \: = \: \dfrac{7.6.5.4!}{3!4!} \times \dfrac{6.5.4!}{2!4!} + \dfrac{7.6.5.4!}{4!3!} \times \dfrac{6.5!}{5!} + \dfrac{7.6.5!}{5!2!} \\ \\ [/tex]

[tex]\sf \: = \: \dfrac{7.6.5}{3.2.1} \times \dfrac{6.5}{2.1} + \dfrac{7.6.5}{3.2.1} \times 6 + \dfrac{7.6}{2.1} \\ \\ [/tex]

[tex]\sf \: = \:35 \times 15 + 35 \times 6 + 21 \\ \\ [/tex]

[tex]\sf \: = \:525 + 210 + 21 \\ \\ [/tex]

[tex]\sf \: = \:756 \\ \\ [/tex]

Hence,

[tex]\bf\implies \: Number \: of \: ways \: = \: 756 \\ \\ [/tex]

[tex]\rule{190pt}{2pt}[/tex]

Formulae Used

[tex]\sf \: \ ^nC_r \: = \: \dfrac{n!}{r! \: (n - r)!} \\ \\ [/tex]

[tex]\sf \: \ ^nC_0 \: = \: 1 \\ \\ [/tex]

Answer:

756

Step-by-step explanation:

here 5 members are needed to be selected. out of that atleast 3 should be men

which means 3 m or 2 w, 4m or 1 w , 5m or 0w can be selected

hence total no of ways =7c3*6c2+7c4*6c1+7c5*6c0

solving the above equation we will get 756 ways

Step-by-step explanation:

pata nahi Bhai iska ans bas point lene ke liye likh diya ye message

Answer:

pata nahi Bhai iska ans bas point lene ke liye likh diya ye message