document.write( "Question 837681: Help!? I am only in Grade 5 and I don't understand this!
\n" );
document.write( "A box contains the letters
\n" );
document.write( "M A S S A C H U S E T T S
\n" );
document.write( "Without looking in the box how many letters do you need to pick from the box to be certain you can make the word SAT?
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #504707 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the word is MASSACHUSETTS. \n" ); document.write( "there are 4 letter S and 2 letter A and 2 letter T in the word. \n" ); document.write( "you only need 1 or each to form the word SAT. \n" ); document.write( "there are 13 letters total in the word MASSACHUSETTS. \n" ); document.write( "you pick all 13 letters. \n" ); document.write( "are you guaranteed that, out of the 13 letters that you picked, you can form the word SAT? \n" ); document.write( "the answer is yes because you have all the letters. \n" ); document.write( "in fact, you have 4 letter S and 2 letter A and 2 letter T. \n" ); document.write( "you have more than enough to form the word SAT.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "now let's say you pick 12 letters and leave 1. \n" ); document.write( "are you guaranteed that, out of the 12 letters that you picked, you can form the word SAT? \n" ); document.write( "the answer is yes again because, even if the letter that you didn't pick was the letter T, you still have enough to form the word SAT. \n" ); document.write( "you would have picked 4 letter S and 2 letter A and 1 letter T. \n" ); document.write( "that's still enough to form the word SAT out of the letters that you picked.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "now let's say you pick 11 letters and leave 2. \n" ); document.write( "are you guaranteed that, out of the 12 letters that you picked, you can form the word SAT? \n" ); document.write( "the answer is no because, assuming the 2 letters that you didn't pick up were the letter T, then you would have picked up 4 letter S and 2 letter A but no letter T which is not enough to form the word SAT since SAT requires a T that you didn't pick up.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "so, in order to be guaranteed (100% certain) that you can form the word SAT from the letters that you picked up, you have to pick 12 letters. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "picking less than 12 letters will not guarantee that you can form the word SAT because the 2 letters that you didn't pick up could both be a T or both be an S which would not leave you with enough letters to form the word SAT.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |