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Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 decade ago

how many 5 letter "words" ( combinations of letters) can be formed from the word " MARCH"?

b) in how many of these words are M and R together?

c)What is the probability of M and R not occurring together?

please show how you got the asnwer.

4 Answers

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  • 1 decade ago
    Favorite Answer

    in 5! ways u can make 5 letters word from the word MARCH

    bocoz 1st place can be filled in ay of the five ways 2nd can be filled in 4ways .......so on

    therefore ans is 5*4*3*2*1 = 120

    a)fixing MR as a one letter n others as remain

    => (MR)ACH

    this can be arranged in 4! ways{ considering MR as one letter} & MR can be arranged in 2! ways

    => ans = 4! *2! = 48 letters

    b) the probability of M and R not occurring together = total letters - probability that they occur together

    => (120-48)/120(sample space)

    {as occur together = 48 solved in part (a)}

    => 72/120

    =>3/5

  • 5 years ago

    Word Combinations For Letters

  • 1 decade ago

    a) no. of combinations are =5!

    =5x4x3x2x1

    =120

    b)no. of words in which m and r are together=48

    c)probability of m and r not occurring together=120--48/120

    =0.6

  • 1 decade ago

    a) 5!/(1!*1!*1!*1!*1!)=5!=120

    b)If MR then 4!=24

    If RM then again 24 , all 48

    c)120-48=72

    Prob=72/120=3/5

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