Astate lottery game consists of choosing one card from each of the four suits in a standard deck of playing cards. (there are 13 cards in each suit.) count the number of ways in which four cards, each of a different face value, can be chosen.

411840

Step-by-step explanation:

As we have to count the number of ways in which all 4 cards have different face value and all 4 cards are from different suit. We have 52 cards in the beginning. When we choose a card from suit 'A' then we can not pick the same suit nor the same face value which means 13 cards of the same suit and 3 cards of the remaining suits with same face value.

calculation:

52*(52-13-3)*(52-13-3-12-2)*(52-13-3-12-2-11-1)

=52*36*22*10

=411840

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,