A box of crayons has 12 different coloured crayons in it. 4 crayons are given to one child to play with, then another 4 are given to a second child to play with, and finally
the last 4 are given to a third child. In how many was can these crayons be
distributed?

  34,560

Step-by-step explanation:

Total crayons of different color = 12

Total children = 3

Each child will get 4 crayons.

Number of combinations of selecting r things out of n things =

The number of ways of selecting the first 4 crayons for first child =

Colors left = 12-4 =8

Now, the again selecting 4 colors out of 8 for second child =

Colors left =4

Number of ways of selecting 4 colors out of 4 for third child  =1

Total number of ways = 495 x 70 x 1 = 34650   [By fundamental principle of counting]

Hence, the total number of ways = 34,560.

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

pla·gia·rism

/ˈplājəˌrizəm/

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noun

the practice of taking someone else's work or ideas and passing them off as one's own.

step-by-step explanation: