Since the hand has 5 cards and there should be at least 1 card for each suit, then there should be 3 suits that appear once in the hand, and one suit that apperas twice.

In order to create a possible hand, first we select the suit that will appear twice. There are 4 possibilities for this. For that suit, we select the 2 cards that appear with the respective suit. Since there are 13 cards for each suit, then we have ${13 \choose 2} = 78$ possibilities. Then we pick one card of all remaining 3 suits. We have 13 ways to pick a card in each case.

This gives us a total of 4*78*13³ = 685464 possibilities to select the hand.

6 0

3 years ago

A mathematics book has 360 pages, of which 50% are on algebra, 20% on geometry and the remainder on arithmetic how many pages ar

Arte-miy333 [17]

Answer:

30% of the pages are arithmetic, or 108 pages

Step-by-step explanation:

50% are on algebra = 180 pages

360 x .5 = 180

20% are on geometry = 72 pages

360 x .2 = 72

30% are on arithmetic = 108

180 + 72 + 108 = 360 pages

50% + 20% + 30% = 100%

6 0

2 years ago