One hundred tickets, numbered 1, 2, 3, . . . , 100, are sold to 100 different people for a drawing. Four different prizes are awarded, including a grand prize (a trip to Tahiti). How many ways are there to award the prizes if it satisfies the given conditions.

The number of ways  to award the prizes if it satisfies the given conditions is 94,109,400.

Step-by-step explanation:

There are 100 tickets that are distributed among 100 different people.

Four different prizes are awarded, including a grand prize.

The selection of the four wining tickets can be done using permutations.

Permutation is an arrangement of all the data set in a specific order.

The formula to compute the permutation of k objects from n different objects is:

In this case we need to compute the number of selection of the 4 winning tickets accordingly from 100 tickets.

Compute the number of ways to select 4 winning tickets as follows:

Thus, the number of ways  to award the prizes if it satisfies the given conditions is 94,109,400.

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2