# stats-

• Feb 10th 2008, 03:31 PM
lra11
stats-
1) each of the digits 1,1,2,3,3,4,6 is written on a separate card. the seven cards are then laid out in a roq to form a 7-digit number.

how many 7-digit numbers are there?

2) 8 cards are selected with replacement from a standard pack of 52 playing cards, with 12 picture cards, 20 odd cards and 20 even cards

there are 52^8 sequences of 8 cards possible

how many of the sequences of above will contain 3 picture cards, 3 odd-numbered cards and 2-even numbered cards?

not getting the right answer- how would i go about solving this

thanks
• Feb 10th 2008, 03:47 PM
galactus
Quote:

Originally Posted by lra11
1) each of the digits 1,1,2,3,3,4,6 is written on a separate card. the seven cards are then laid out in a roq to form a 7-digit number.

how many 7-digit numbers are there?

Distinguishable permutations: $\frac{7!}{2!2!}$

Quote:

2) 8 cards are selected with replacement from a standard pack of 52 playing cards, with 12 picture cards, 20 odd cards and 20 even cards

there are 52^8 sequences of 8 cards possible

how many of the sequences of above will contain 3 picture cards, 3 odd-numbered cards and 2-even numbered cards?

not getting the right answer- how would i go about solving this
Did you try $C(12,3)C(20,3)C(20,2)$
• Feb 10th 2008, 04:14 PM
lra11
is that 12 (choose) 3 etc ??