How many different 11letter words real or imaginary can be f

How many different 11-letter words (real or imaginary) can be formed from the letters in the word CHATTANOOGA? a) 39, 916.800 b) 7, 920 c) 1, 663.200 d) 34.650 A single card is drawn at random from a deck of 52 cards. Find the probability that the card will be a red picture card or a black 7 or a black 8. a) 5/13 b) 7/8 c) 12/52 d) 5/26

Solution

8.

CHATTANOOGA

we have T (2times) O(2 times) and A(3 times) repeated, So

Different type of words will be =

= 11!/(3!*2!*2!) = 1663200

Coorect option is C

9.

Probabilty = No. of favourable outcomes/Total Outcomes

Total number of outcomes = 52

No of favourable outcome = a red picture card OR a black 7 OR a black 8

Red picture means any card of diamond or heart which is from jack, queen or king = 6

black 7 means 7 of spade or club

black 8 means 8 of spade or club

Total favourable outcome = 6 + 2 + 2 = 10

Probability = 10/52 = 5/26

Correct option is D.