Q. 484.0( 2 Votes )

# Fill in the Blanks

The total number of ways in which six ‘+’ and four ‘–’ signs can be arranged in a line such that no two signs ‘–’ occur together is ______.

Answer :

Formula:-

(i) ^{n}C_{r}

Number of (-)=4

Number of (+)=6

Number of ways=^{7}C_{4}=35

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PREVIOUSFill in the BlanksIn a football championship, 153 matches were played . Every two teams played one match with each other. The number of teams, participating in the championship is ______.NEXTFill in the BlanksA committee of 6 is to be chosen from 10 men and 7 women so as to contain atleast 3 men and 2 women. In how many different ways can this be done if two particular women refuse to serve on the same committee.[Hint: At least 3 men and 2 women: The number of ways = 10C3 × 7C3 + 10C4 × 7C2.For 2 particular women to be always there: the number of ways = 10C4 + 10C3 × 5C1.The total number of committees when two particular women are never together = Total – together.]

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